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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?).

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

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Simplify

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

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Simplify

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

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If \( a + a^{-1} = 3 \), evaluate

\[ a^4 + a^{-4}. \]

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

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