Question

How do you take the cube root of an exponent?

Answer 1

You divide the exponent by `3`

Explanation:

For any real number `a` it is true that :

`root(3)(a)=a^(1/3)`

So if `a` is written as power `a=b^c`, then to calculate the cube root you have to divide the power's exponent by `3`.

`root(3)(b^c)=(b^c)^(1/3)=b^(1/3c)=b^(c/3)`