# How do you divide \frac { x ^ { - 7} ( y ^ { - 4} z ^ { 1} ) ^ { 2} } { x ^ { - 6} y ^ { 5} z ^ { 8} }?

Oct 7, 2017

$\frac{\setminus}{1} \left\{x {y}^{13} {z}^{6}\right\}$

#### Explanation:

Reduce the fraction with ${x}^{-} 7$
$\frac{\setminus}{{\left({y}^{-} 4 z\right)}^{2}} \left\{x {y}^{5} {z}^{8}\right\}$
Use exponent rules. To raise a product to a power, raise each factor to that power.
$\frac{\setminus}{{y}^{-} 8 {z}^{2}} \left\{x {y}^{5} {z}^{8}\right\}$
Reduce the fraction
$\frac{\setminus}{1} \left\{x {y}^{13} {z}^{6}\right\}$