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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?).

# Rules of Exponents Review

What is the value of $$\dfrac{6^5}{6^3}$$ ?

True or false: $$(-2)^{3} = 2^{-3}$$ ?

$f(x) = x^{100}$ $g(x) = 100^{x}$

Which is bigger, $$f(10000)$$ or $$g(10000)$$ ?

$$f$$ is an exponential function such that $$f(x) = K(2^{x})$$ for some constant $$K$$.

If $$f(10) = 2000$$ and $$f(a) = 500$$, what is the value of $$a$$ ?

$\Large 8^{2n} = 4^{n^2}$

What is the value of $$n$$?

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