What is ((-8x^{-3}y)^2(-2z)^3(-2z)^3)/(512x^{-7)y^2} ?

The solution to ((-8x^{-3}y)^2(-2z)^3(-2z)^3)/(512x^{-7)y^2} is 8xz^6

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simplify ((-8x^{-3}y)^2(-2z)^3(-2z)^3)/(512x^{-7)y^2}

simplify

\frac{( - 8 x ^{- 3} y ) ^{2} ( - 2 z ) ^{3} ( - 2 z ) ^{3}}{512 x ^{- 7} y ^{2}}

8 x z^{6}

Solution steps

\frac{( - 8 x ^{- 3} y ) ^{2} ( - 2 z ) ^{3} ( - 2 z ) ^{3}}{512 x ^{- 7} y ^{2}}

Simplify

\frac{( - 8 x ^{- 3} y ) ^{2}}{512} : \frac{y ^{2}}{8 x ^{6}}

= \frac{y ^{2} ( - 2 z ) ^{3} ( - 2 z ) ^{3}}{8 x ^{6} x ^{- 7} y ^{2}}

Cancel the common factor:

y^{2}

= \frac{( - 2 z ) ^{3} ( - 2 z ) ^{3}}{8 x ^{6} x ^{- 7}}

Simplify

\frac{( - 2 z ) ^{3}}{8} : - z^{3}

= \frac{- z ^{3} ( - 2 z ) ^{3}}{x ^{6} x ^{- 7}}

Simplify

\frac{- z ^{3} ( - 2 z ) ^{3}}{x ^{6} x ^{- 7}} : 8 x z^{6}

= 8 x z^{6}

\frac{38}{100}

\frac{3}{4} \times 8

\frac{a - 1}{1 - a}

9^{l o g_{9} (5)}

83 + 675

What is ((-8x^{-3}y)^2(-2z)^3(-2z)^3)/(512x^{-7)y^2} ?
The solution to ((-8x^{-3}y)^2(-2z)^3(-2z)^3)/(512x^{-7)y^2} is 8xz^6