# Question #8a190

May 27, 2016

${2}^{6} {x}^{10} {y}^{16}$

#### Explanation:

Start by getting rid of the brackets, which is done by distributing the powers to each of the elements inside.
${\left(- 2 x {y}^{2}\right)}^{4} {\left(2 {x}^{3} {y}^{4}\right)}^{2} = {\left(- 2\right)}^{4} {x}^{4} {y}^{8} \cdot {2}^{2} {x}^{6} {y}^{8}$

Now group all the similar items, remembering that a negative number raised to an even power becomes positive, and that the powers of like items should be added together.

$= {2}^{6} {x}^{10} {y}^{16}$