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## Exponential Functions

From compound interest to bubonic plague, things that grow or spread really fast are often modeled by exponential functions. Learn about these powerful functions (pun intended?).

# Misconceptions

Which of the following is equal to $$\large \frac{ x^{-2} } { x ^ { -6}}$$?

Simplify

$\left( 2 x^2 y^2 \right)^3 x^{-4} y^3.$

Simplify

$\frac{4x^{-5}y^{-3}\cdot 3x^3 y^{-2}}{ 6x^{-5} y^3}.$

If $$a + a^{-1} = 3$$, evaluate

$a^4 + a^{-4}.$

Which of the following is equal to $$\Large \frac{x^4}{x^{-8}}$$?

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