MathTV Logo TOPICS
 
CHOOSE A TOPIC
MathTV Logo

Search Results
Math Topics

Elementary Algebra
Exponents and Polynomials

1
Multiplication with Exponents and Scientific Notation

Problem  1
practice icon

Simplify

  1. \(4^3\)

  2. \(-3^4\)

  3. \((-2)^5\)

  4. \(\left(-\displaystyle\frac{3}{4}\right)^2\)

Choose instructor to watch:
Molly S. cc
Molly S.
Betsy cc
Betsy
Julieta cc espanol spanish
Julieta
Problem  2
practice icon

Simplify

  1. \(5^3 \cdot 5^6\)

  2. \(x^7 \cdot x^8\)

  3. \(3^4 \cdot 3^8 \cdot 3^5\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Betsy cc
Betsy
Cynthia espanol spanish
Cynthia
Problem  3

Simplify the following expressions:

  1. \(\left(4^5\right)^6\)

  2. \(\left(x^3\right)^5\)

  3. \(\left(x^4\right)^3\left(x^2\right)^5\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  4

Simplify the following the expressions:

  1. \((3y)^2\)

  2. \(\left(-\displaystyle\frac{1}{4}x^2y^3\right)^2\)

  3. \(\left(x^2y^5\right)^3\left(x^4y\right)^2\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  5
practice icon

Write \(376,000\) in scientific notation.

Choose instructor to watch:
Preston cc
Preston
Betsy cc
Betsy
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  6
practice icon

Write \(4.52\times 10^3\) in expanded form.

Choose instructor to watch:
Preston cc
Preston
Betsy cc
Betsy
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Mini Lecture

Mini Lecture
Simplify.

  1. \(\left(\displaystyle\frac{1}{2}\right)^4\)

  2. \(x^4\cdot x^5\)

  3. \(\left(x^2\right)^5\)

  4. \((4xyz)^3\)

  5. \(\left(3x^2\right)\left(2x^3\right)\left(5x^4\right)\)

  6. Write in scientific notation: \(43,200\)

  7. Write in expanded form: \(2.49\times 10^3\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

2
Division with Exponents

Problem  1

Write each expression with a positive exponent and then simplify:

  1. \(2^{-3}\)

  2. \((-5)^{-2}\)

  3. \(-5^{-2}\)

  4. \(3x^{-6}\)

  5. \((3x)^{-6}\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  2
practice icon

Simplify

  1. \(\displaystyle\frac{x^9}{x^6}\)

  2. \(\displaystyle\frac{x^4}{x^{10}}\)

  3. \(\displaystyle\frac{2^{15}}{2^{20}}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  3
practice icon

Simplify

  1. \(\left(\displaystyle\frac{x}{2}\right)^3\)

  2. \(\left(\displaystyle\frac{5}{y}\right)^2\)

  3. \(\left(\displaystyle\frac{2}{3}\right)^4\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  4
practice icon

Simplify

  1. \(8^0\)

  2. \(8^1\)

  3. \(4^0+4^1\)

  4. \(\left(2x^2y\right)^0\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
David espanol spanish
David
Problem  5
practice icon

Simplify \(\displaystyle\frac{\left(5x^3\right)^2}{x^4}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  6
practice icon

Simplify \(\displaystyle\frac{x^{-8}}{\left(x^2\right)^3}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  7
practice icon

Simplify \(\left(\displaystyle\frac{y^5}{y^3}\right)^2\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
David espanol spanish
David
Problem  8
practice icon

Simplify \(\left(3x^5\right)^{-2}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  9
practice icon

Simplify \(\; x^{-8} \cdot x^5\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  10
practice icon

Simplify \(\displaystyle\frac{\left(a^3\right)^2a^{-4}}{\left(a^{-4}\right)^3}\)

Choose instructor to watch:
CJ cc
CJ
Molly S. cc
Molly S.
Gordon cc
Gordon
Anthony espanol spanish
Anthony
Problem  11
practice icon

One square is larger than another. If the side of the larger square is \(3\) times as long as the side of the smaller square, how many of the smaller squares will fit inside the larger square?

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Cynthia espanol spanish
Cynthia
Problem  12
practice icon

You have two cubes. If the side of one cube is \(3\) times the side of the other cube, how many of the smaller cubes will fit inside the larger cube?

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Anthony espanol spanish
Anthony
Problem  13

Write each number in scientific notation.

  1. \(36\times 10^{-4}\)

  2. \(0.36\times 10^5\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Mini Lecture

Mini Lecture
Simplify.

  1. \(3^{-2}\)

  2. \(5^{-3}\)

  3. \(\displaystyle\frac{x^{10}}{x^4}\)

  4. \(\displaystyle\frac{5^1}{5^3}\)

  5. \(\displaystyle\frac{2^5}{2^{-3}}\)

  6. \(\displaystyle\frac{\left(a^3\right)^2\left(a^4\right)^5}{\left(a^5\right)^2}\)

  7. Write in expanded form: \(4.23\times 10^{-3}\)

  8. Write in scientific notation: \(0.000357\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

3
Operations with Monomials

Problem  1

State the coefficient and degree of the following monomial: \(8x^5\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  2

State the coefficient and degree of the following monomial: \(-\dfrac{1}{2}x\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  3

State the coefficient and degree of the following monomial: \(14x^4y^3\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  4

State the coefficient and degree of the following monomial: \(-3\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  5
practice icon

Multiply.

  1. \(\left(-3x^2\right)\left(4x^3\right)\)

  2. \(\left(\dfrac{4}{5}x^5\cdot y^2\right)\left(10x^3\cdot y\right)\)

Choose instructor to watch:
Preston cc
Preston
Julieta cc
Julieta
David espanol spanish
David
Problem  6
practice icon

Divide

  1. \(\displaystyle\frac{15x^3}{3x^2}\)

  2. \(\displaystyle\frac{39x^2y^3}{3xy^5}\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  7
practice icon

Divide \(25a^5b^3\) by \(50a^2b^7\).

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  8
practice icon

Simplify \(\displaystyle\frac{\left(6x^4y\right)\left(3x^7y^5\right)}{9x^5y^2}\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Stefanie cc
Stefanie
David espanol spanish
David
Problem  9

Simplify each expression.

  1. \((2y)^3(3y)^2\)

  2. \(\dfrac{(6xy^4)^2}{(2x^3y^2)^3}\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  10
practice icon

Multiply \(\left(4 \times 10^7\right)\left(2 \times 10^{-4}\right)\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  11
practice icon

Divide \(\displaystyle\frac{9.6 \times 10^{12}}{3\times 10^4}\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  12

Simplify: \(\dfrac{(6.8\times 10^5)(3.9\times 10^{-7})}{1.7\times 10^{-4}}\)

Choose instructor to watch:
Nathan cc
Nathan
Breylor cc
Breylor
Octabio espanol spanish
Octabio
Problem  13
practice icon

Combine the following monomials.

  1. \(-3x^2+15x^2\)

  2. \(9x^2y-20x^2y\)

  3. \(5x^2+8y^2\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  14
practice icon

Simplify \(\displaystyle\frac{14x^5}{2x^2}+\displaystyle\frac{15x^8}{3x^5}\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
Molly S. cc
Molly S.
David espanol spanish
David
Problem  15

A rectangular solid is twice as long as it is wide and one-half as high as it is wide. Write an expression for the volume.

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
David espanol spanish
David
Mini Lecture

Mini Lecture
Simplify.

  1. \(\left(4x^2y\right)\left(3x^3y^3\right)\left(2xy^4\right)\)

  2. \(\displaystyle\frac{21a^2b^3}{-7ab^5}\)

  3. \(\displaystyle\frac{8.4\times 10^5}{2\times 10^2}\)

  4. \(10x^3-8x^3+2x^3\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

4
Addition and Subtraction of Polynomials

Problem  1

Write \(2x-5+3x^4-x^2\) in standard form. Then state the degree of the polynomial and the leading coefficient.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  2
practice icon

Find the value of \(3x^2-5x+4\) when \(x=-2\).

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Lauren cc
Lauren
David espanol spanish
David
Problem  3
practice icon

Add \(\left(2x^2-5x+3\right)+\left(4x^2+7x-8\right)\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Stefanie cc
Stefanie
David espanol spanish
David
Problem  4

Add \(x^2+3x\) and \(2x+6\).

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Arielle cc
Arielle
Cynthia espanol spanish
Cynthia
Problem  5

Find the opposite of \(3x^2-5x+8\).

Choose instructor to watch:
Stephanie
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  6
practice icon

Subtract \(\left(3x^2+x+4\right)-\left(x^2+2x+3\right)\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Lauren cc
Lauren
David espanol spanish
David
Problem  7
practice icon

Subtract \(-4x^2+5x-7\) from \(x^2-x-1\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Mini Lecture

Mini Lecture
Indicate the degree.

  1. \(4x^2-4x+1\)

  2. \(90x\)

Combine.

  1. \(\left(x^2+5x+6\right)+\left(x^2+3x+4\right)\)

  2. \(\left(5a^2-a-6\right)-\left(-3a^2-2a+4\right)\)

  3. Subtract \(3y^2+7y-15\) from \(11y^2+11y+11\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

5
Multiplication with Polynomials

Problem  1
practice icon

Multiply \(\,3x^2\left(2x^2+4x+5\right)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  2
practice icon

Multiply \((3x-5)(2x-1)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Lauren cc
Lauren
CJ cc
CJ
Cynthia espanol spanish
Cynthia
Problem  3
practice icon

Multiply \((2x+3)(5x-4)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  4
practice icon

Multiply.

  1. \(4a^2\left(2a^2-3a+5\right)\)

  2. \((x-2)(y+3)\)

  3. \((x+y)(a-b)\)

  4. \((5x-1)(2x+6)\)

Choose instructor to watch:
Arielle cc
Arielle
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  5

Multiply: \((x^2-4x+2)(3x^2+x-5)\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  6
practice icon

Multiply \((2x+3)(3x^2-2x+1)\)

Choose instructor to watch:
Arielle cc
Arielle
Molly S. cc
Molly S.
Preston cc
Preston
David espanol spanish
David
Problem  7

Multiply: \((3x-2)(4x^2+x+3)\)

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  8
practice icon

The length of a rectangle is \(3\) more than twice the width. Write an expression for the area.

Choose instructor to watch:
Lauren cc
Lauren
Molly S. cc
Molly S.
Preston cc
Preston
David espanol spanish
David
Problem  9

A store selling cases for cell phones knows from past experience that it can sell \(x\) cases each day at a price \(p\) dollars per case, according to the equation \(x=800-100p\). Write a formula for the daily revenue that involves only the variable \(R\) and \(p\).

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Mini Lecture

Mini Lecture
Multiply.

  1. \(2x^2\left(3x^2-2x+1\right)\)

  2. \((x+3)(x+4)\)

  3. \((2x-5)(3x-2)\)

  4. \((x+2)\left(x^2-2x+4\right)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

6
Binomial Squares and Other Special Products

Problem  1

Find the square of \((3x-2)\)

Choose instructor to watch:
Stefanie cc
Stefanie
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  2
practice icon

Simplify

  1. \((a+b)^2\)

  2. \((a-b)^2\)

Choose instructor to watch:
Stefanie cc
Stefanie
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  3
practice icon

Multiply \((x-5)^2\)

Choose instructor to watch:
Stefanie cc
Stefanie
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  4
practice icon

Multiply \((x+2)^2\)

Choose instructor to watch:
Stefanie cc
Stefanie
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  5

Multiply \((2x-3y)^2\) using the rule for binomial squares.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  6

Multiply \(\left(5x^2-4\right)^2\) using the rule for binomial squares.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  7
practice icon

Multiply \((2x-3)(2x+3)\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  8
practice icon

Multiply \((x-5)(x+5)\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  9

Multiply \((3x-1)(3x+1)\)

Choose instructor to watch:
Lauren cc
Lauren
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  10
practice icon

Multiply \((x+3)(x-3)\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  11
practice icon

Multiply \((a+2)(a-2)\)

Choose instructor to watch:
Lauren cc
Lauren
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  12

Multiply \((1+9a)(1-9a)\) using the rule for difference of two squares.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  13
practice icon

Multiply \((2x-5y)(2x+5y)\)

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Problem  14

Multiply \((3a^2-7b^2)(3a^2+7b^2)\) using the rule for difference of two squares.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Breylor cc
Breylor
Problem  15

Write an expression in symbols for the sum of the squares of three consecutive even integers. Then simplify that expression.

Choose instructor to watch:
Betsy cc
Betsy
Preston cc
Preston
David espanol spanish
David
Mini Lecture

Mini Lecture
Expand and multiply.

  1. \((x+3)^2\)

  2. \((3a+5b)^2\)

  3. \((x-3)(x+3)\)

  4. \((6-7x)(6+7x)\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Study Skill

Enrichment
More powers of binomials, Pascal’s triangle, and the Fibonacci sequence.

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

7
Division with Polynomials

Problem  1
practice icon

Divide \(10x^3-15x^2\) by \(5x\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
Edwin espanol spanish
Edwin
Problem  2
practice icon

Divide \(\displaystyle\frac{3x^2-6}{3}\)

Choose instructor to watch:
Molly S. cc
Molly S.
Gordon cc
Gordon
Edwin espanol spanish
Edwin
Problem  3
practice icon

Find the quotient of \(27x^3-9x^2\) and \(3x\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Betsy cc
Betsy
Edwin espanol spanish
Edwin
Problem  4

Divide \(\left(15x^2y-21xy^2\right)\div (-3xy)\)

Choose instructor to watch:
Preston cc
Preston
Molly S. cc
Molly S.
Betsy cc
Betsy
Edwin espanol spanish
Edwin
Problem  5

Divide: \(\dfrac{24x^3y^2+16x^2y^2-4xy^3}{8x^2y}\)

Choose instructor to watch:
Stephanie
Stephanie
Nathan
Nathan
Breylor
Breylor
Problem  6

Divide \(27\overline{\smash{)}3,962}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Molly M. cc
Molly M.
Preston cc
Preston
Problem  7
practice icon

Divide \(\displaystyle\frac{x^2-5x+8}{x-3}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Preston cc
Preston
Cynthia espanol spanish
Cynthia
Problem  8

Divide: \(\dfrac{6x^3-11x^2-14x+3}{2x^2-5x-1}\)

Choose instructor to watch:
Stephanie
Stephanie
Nathan
Nathan
Breylor
Breylor
Problem  9
practice icon

Divide \(\displaystyle\frac{2x^3-3x+2}{x-5}\)

Choose instructor to watch:
Betsy cc
Betsy
Molly S. cc
Molly S.
Gordon cc
Gordon
Gordon espanol spanish
Gordon
Problem  10

Divide: \(\dfrac{6x^3+2x^2-x}{2x^2-3}\)

Choose instructor to watch:
Stephanie
Stephanie
Nathan
Nathan
Breylor
Breylor
Mini Lecture

Mini Lecture
Divide.

  1. \(\displaystyle\frac{6x+8y}{2}\)

  2. \(\displaystyle\frac{x^2y-x^3y^2}{-x^2y}\)

  3. \(\displaystyle\frac{16x^5+8x^2+12x}{12x^3}\)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague

8
Test & Summary

Problem  1

Simplify: \((-2)^5\)

Choose instructor to watch:
Julieta cc
Julieta
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  2

Simplify: \(\left(\displaystyle\frac{2}{3}\right)^3\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin cc espanol spanish
Edwin
Problem  3

Simplify: \(\left(4x^2\right)^2\left(2x^3\right)^3\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  4

Simplify with positive exponents only. \[4^{-2}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  5

Simplify with positive exponents only. \[\left(4a^5b^3\right)^0\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  6

Simplify with positive exponents only. \[\displaystyle\frac{x^{-4}}{x^{-7}}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  7

Simplify with positive exponents only. \[\displaystyle\frac{\left(x^{-3}\right)^2\left(x^{-5}\right)^{-3}}{\left(x^{-3}\right)^{-4}}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  8

Write \(0.04307\) in scientific notation.

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  9

Write \(7.63\times 10^6\) in expanded form.

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  10

Simplify with positive exponents only. \[\displaystyle\frac{17x^2y^5z^3}{51x^4y^2z}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  11

Simplify with positive exponents only. \[\displaystyle\frac{\left(3a^3b\right)\left(4a^2b^5\right)}{24a^2b^4}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  12

Simplify with positive exponents only. \[\displaystyle\frac{28x^4}{4x}+\displaystyle\frac{30x^7}{6x^4}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  13

Simplify with positive exponents only. \[\displaystyle\frac{\left(1.1\times 10^5\right)\left(3\times 10^{-2}\right)}{4.4\times 10^{-5}}\]

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  14

Simplify: \(\;9x^2-2x+7x+4\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  15

Simplify: \(\;\left(4x^2+5x-6\right)-\left(2x^2-x-4\right)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  16

Subtract \(2x+7\) from \(7x+3\).

Choose instructor to watch:
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  17

Find the value of \(3a^2+4a+6\) when \(a\) is \(-3\).

Choose instructor to watch:
CJ cc
CJ
Sirena cc
Sirena
Edwin espanol spanish
Edwin
Problem  18

Multiply: \(\;3x^2\left(5x^2-2x+4\right)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Edwin espanol spanish
Edwin
Problem  19

Multiply: \(\; \left(x+\displaystyle\frac{1}{4}\right)\left(x-\displaystyle\frac{1}{3}\right)\)

Choose instructor to watch:
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  20

Multiply: \(\;(2x-3)(5x+6)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  21

Multiply: \(\; (x+4)(x^2-4x+16)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  22

Multiply: \(\;(x-6)^2\)

Choose instructor to watch:
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  23

Multiply: \(\;(2a+4b)^2\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  24

Multiply: \(\;(3x-6)(3x+6)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  25

Multiply: \(\left(x^2-4\right)\left(x^2+4\right)\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  26

Divide \(18x^3-36x^2+6x\;\) by \(\;6x\).

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  27

Divide: \(\;\displaystyle\frac{9x^2-6x-4}{3x-1}\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  28

Divide: \(\;\displaystyle\frac{4x^2-5x+6}{x-4}\)

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  29

Find the volume of a cube if the length of a side is \(3.2\) inches.

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon
Problem  30

Find the volume of a rectangular solid if the length is three times the width, and the height is one third the width.

Choose instructor to watch:
Sirena cc
Sirena
CJ cc
CJ
Gordon espanol spanish
Gordon