Question

How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?

Answer 1

They're the same equation

Explanation:

I'm assuming the equations are:
`f(x)=(√(16))^x` and
`g(x)=(\sqrt[3]{64})^x`

At first glance these two equations may appear to be completely different, but they are actually the exact same!

This is because the square root of 16, is equal to 4, because 4^2 = 16.

The cube root of 64, is also equal to 4, since 4^3 = 64

Rewriting both these formulas we get the same equation of:
`4^x`