examples, and problems from the community.

including olympiad champions, researchers, and professionals.

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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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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by **Brilliant Staff**

Simplify

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

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by **Brilliant Staff**

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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by **Brilliant Staff**

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

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by **Brilliant Staff**

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