# How do you simplify (xyz^2)^4?

Mar 16, 2016

$= {x}^{4} {y}^{4} {z}^{8}$

#### Explanation:

${\left(x y {z}^{2}\right)}^{4}$

• as per property:
${\textcolor{b l u e}{\left(a b c\right)}}^{m} = {a}^{m} {b}^{m} {c}^{m}$

Applying the above to the expression

${\left(x y {z}^{2}\right)}^{4} = {x}^{4} \cdot {y}^{4} \cdot {z}^{\left(2 \cdot 4\right)}$

$= {x}^{4} {y}^{4} {z}^{8}$