Algebra

# Exponential Functions Warmup

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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