What is ((-4x^5y^{-2})^3)/(x^7y^{-3)} ?

The solution to ((-4x^5y^{-2})^3)/(x^7y^{-3)} is -(64x^8)/(y^3)

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simplify ((-4x^5y^{-2})^3)/(x^7y^{-3)}

simplify

\frac{( - 4 x ^{5} y ^{- 2} ) ^{3}}{x ^{7} y ^{- 3}}

- \frac{64 x ^{8}}{y ^{3}}

Solution steps

\frac{( - 4 x ^{5} y ^{- 2} ) ^{3}}{x ^{7} y ^{- 3}}

Simplify

(- 4 x^{5} y^{- 2})^{3} : - \frac{64 x ^{15}}{y ^{6}}

= \frac{- \frac{64 x ^{15}}{y ^{6}}}{x ^{7} y ^{- 3}}

Simplify

x^{7} y^{- 3} : \frac{x ^{7}}{y ^{3}}

= \frac{- \frac{64 x ^{15}}{y ^{6}}}{\frac{x ^{7}}{y ^{3}}}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{\frac{64 x ^{15}}{y ^{6}}}{\frac{x ^{7}}{y ^{3}}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{64 x ^{15}}{y ^{6}}}{\frac{x ^{7}}{y ^{3}}} = \frac{64 x ^{15} y ^{3}}{y ^{6} x ^{7}}

= - \frac{64 x ^{15} y ^{3}}{y ^{6} x ^{7}}

Cancel

- \frac{64 x ^{15} y ^{3}}{y ^{6} x ^{7}} : - \frac{64 x ^{8}}{y ^{3}}

= - \frac{64 x ^{8}}{y ^{3}}

6 x^{2} + 36 x + 54 = 0

3 (3 w - 8) = 21

10 x^{5} + 18

12 x^{2} - 24 x + 9 = 0

(3 x - 8) (3 x + 8) = 0

What is ((-4x^5y^{-2})^3)/(x^7y^{-3)} ?
The solution to ((-4x^5y^{-2})^3)/(x^7y^{-3)} is -(64x^8)/(y^3)