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

1 Answer

Oct 19, 2016

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

Explanation:

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

$4^{3} \times x^{- 6} \times 3^{4} \times x^{24} =$ $4^3xxx^-6xx3^4xxx^24=$

$4^{3} \times 3^{4} \times x^{24 - 6} = 64 \times 81 \times x^{18}$ $4^3xx3^4xxx^(24-6)=64xx81xxx^18$

$5184 x^{18}$ $5184x^18$

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