# How do you simplify ( 4x ^-5y^2)^-3?

Jul 5, 2016

${x}^{15} / \left(64 {y}^{6}\right)$

#### Explanation:

To simplify ${\left(4 {x}^{-} 5 {y}^{2}\right)}^{-} 3$

Begin by distributing the external exponent into the parenthesis

${4}^{-} 3 {x}^{- 5 \left(- 3\right)} {y}^{2 \left(- 3\right)}$

${4}^{-} 3 {x}^{15} {y}^{-} 6$

Eliminate the negative exponents in the numerator by moving those units to the denominator

${x}^{15} / \left({4}^{3} {y}^{6}\right)$

Simplify the cube of $4$

${x}^{15} / \left(64 {y}^{6}\right)$