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

Oct 19, 2016

${\left(4 {x}^{- 2}\right)}^{3} {\left(3 {x}^{6}\right)}^{4} = 5184 {x}^{18}$

#### Explanation:

${\left(4 {x}^{- 2}\right)}^{3} {\left(3 {x}^{6}\right)}^{4} = {4}^{3} {\left({x}^{- 2}\right)}^{3} {\left(3 {x}^{6}\right)}^{4} =$

${4}^{3} \times {x}^{-} 6 \times {3}^{4} \times {x}^{24} =$

${4}^{3} \times {3}^{4} \times {x}^{24 - 6} = 64 \times 81 \times {x}^{18}$

$5184 {x}^{18}$