# How do you simplify [(-2xy^2)^3]^2?

Apr 28, 2017

$64 {x}^{6} {y}^{12}$

#### Explanation:

${\left[{\left(- 2 x {y}^{2}\right)}^{3}\right]}^{2}$

When you have an exponent being raised to another exponent you can multiply them for an equal value.

So...

${\left[{\left(- 2 x {y}^{2}\right)}^{3}\right]}^{2}$

${\left(- 2 x {y}^{2}\right)}^{6}$

Now you can see this as...

${\left(- 2\right)}^{6} {\left(x\right)}^{6} {\left({y}^{2}\right)}^{6}$

Now just raise $- 2$ to the sixth power and multiply the exponents of the variables

${\left(- 2\right)}^{6} {\left(x\right)}^{6} {\left({y}^{2}\right)}^{6}$

$64 {\left(x\right)}^{6} {\left({y}^{2}\right)}^{6}$

$64 {x}^{6} {\left({y}^{2}\right)}^{6}$

$64 {x}^{6} {y}^{12}$