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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?).

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Given \(9^a = 27^{10} \), where \(a\) is a positive integer, what is the value of \(a\)?

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Which of the following is equal to \( 3^{-8} ? \)

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Evaluate

\[ \Large 225 ^ { \frac{ 1}{2} } . \]

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Evaluate \[ \left( 3^{12} 5^{11} \right) \div \left( 5^{9} 3^{11} \right). \]

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