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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?).
Excel in math and science
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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
\[ \frac{4x^{-5}y^{-3}\cdot 3x^3 y^{-2}}{ 6x^{-5} y^3}. \]
Excel in math and science
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by Brilliant Staff
If \( a + a^{-1} = 3 \), evaluate
\[ a^4 + a^{-4}. \]
Excel in math and science
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Which of the following is equal to \(\Large \frac{x^4}{x^{-8}}\)?
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by Brilliant Staff