How do you simplify #root4((3x^2)^4)#?
Rewrite to get rid of the root sign to make it easier to work with and get to
Let's first start with the original:
Now let's rewrite this to get rid of the root sign (I find working with fractional exponents to be easier):
When we take things that have an exponent and take them to a power, the 2 exponents multiply together, like this: