# 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 $3 {x}^{2}$

#### Explanation:

$\sqrt[4]{{\left(3 {x}^{2}\right)}^{4}}$

Now let's rewrite this to get rid of the root sign (I find working with fractional exponents to be easier):

${\left({\left(3 {x}^{2}\right)}^{4}\right)}^{\frac{1}{4}}$

When we take things that have an exponent and take them to a power, the 2 exponents multiply together, like this:

${\left(3 {x}^{2}\right)}^{4 \cdot \left(\frac{1}{4}\right)}$

${\left(3 {x}^{2}\right)}^{1}$

$3 {x}^{2}$