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Math Topics
Elementary Algebra
Exponents and Polynomials
1
Multiplication with Exponents and Scientific Notation
Mini Lecture
Simplify.
\(\left(\displaystyle\frac{1}{2}\right)^4\)
\(x^4\cdot x^5\)
\(\left(x^2\right)^5\)
\((4xyz)^3\)
\(\left(3x^2\right)\left(2x^3\right)\left(5x^4\right)\)
Write in scientific notation: \(43,200\)
Write in expanded form: \(2.49\times 10^3\)
2
Division with Exponents
Mini Lecture
Simplify.
\(3^{-2}\)
\(5^{-3}\)
\(\displaystyle\frac{x^{10}}{x^4}\)
\(\displaystyle\frac{5^1}{5^3}\)
\(\displaystyle\frac{2^5}{2^{-3}}\)
\(\displaystyle\frac{\left(a^3\right)^2\left(a^4\right)^5}{\left(a^5\right)^2}\)
Write in expanded form: \(4.23\times 10^{-3}\)
Write in scientific notation: \(0.000357\)
3
Operations with Monomials
4
Addition and Subtraction of Polynomials
5
Multiplication with Polynomials
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 \(p\).