Rules of Exponents

Exponential Functions Warmup


What is the value of 6563\dfrac{6^5}{6^3} ?

True or false: (2)3=23(-2)^{3} = 2^{-3} ?

f(x)=x100f(x) = x^{100} g(x)=100xg(x) = 100^{x}

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

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

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

82n=4n2\Large 8^{2n} = 4^{n^2}

What is the value of nn?


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