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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?).

Exponential Equations

If $\large 11 ^{5} \times 11 ^{9}= 11 ^m \times 11 ^{4} \times 11 ^n,$ then what is the value of $$m+n$$?

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

Which of the following is equal to $$3^{-8} ?$$

Evaluate

$\Large 225 ^ { \frac{ 1}{2} } .$

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

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