# How do you simplify (\frac { x ^ { 6} y ^ { 4} } { x ^ { 2} y } ) ^ { 3}?

Jun 21, 2017

${x}^{12} {y}^{9}$

#### Explanation:

1. Distribute the exponent of 3 by multiplying every exponent in the parentheses by 3.

Remember, variables or numbers without exponents actually have an exponent of 1.

$\frac{{x}^{18} {y}^{12}}{{x}^{6} {y}^{3}}$

2. Simplify using exponent rules. When dividing powers with the same base, subtract the exponents.

$= {x}^{12} {y}^{9}$