I am trying to understand the different rules for multiplying exponents by fractional exponents and raising whole numbers by the power of fractional exponents. I have an idea but I'm trying to assure myself. Take the following example:
$(64x^4)^\frac{1}{3}$
Do I first find the cube root of 64 and bring it to the power of 1, which is 4? And then for the exponent of $x$, multiply it by 1 and divide it by 3, which is $\frac{4}{3}$ - resulting in:
$4x^\frac{4}{3}$
I am just trying to make sure I've got this down because I'm having a test next week. Thanks!