What is ((xy^{-2}z^{-3})^2)/((x^2y^3)^{-3)} ?

The solution to ((xy^{-2}z^{-3})^2)/((x^2y^3)^{-3)} is (x^8y^5)/(z^6)

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simplify ((xy^{-2}z^{-3})^2)/((x^2y^3)^{-3)}

simplify

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

\frac{x ^{8} y ^{5}}{z ^{6}}

Solution steps

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

Simplify

(x y^{- 2} z^{- 3})^{2} : \frac{x ^{2}}{y ^{4} z ^{6}}

= \frac{\frac{x ^{2}}{y ^{4} z ^{6}}}{( x ^{2} y ^{3} ) ^{- 3}}

Apply the fraction rule:

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

= \frac{x ^{2}}{y ^{4} z ^{6} ( x ^{2} y ^{3} ) ^{- 3}}

Simplify

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

= \frac{x ^{2}}{\frac{z ^{6}}{x ^{6} y ^{5}}}

Apply the fraction rule:

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

= \frac{x ^{2} x ^{6} y ^{5}}{z ^{6}}

Simplify

x^{2} x^{6} : x^{8}

= \frac{x ^{8} y ^{5}}{z ^{6}}

(4^{2})^{- 2}

b^{3} - 64 a^{3}

(- 2 x^{2})^{2}

\frac{1}{4} + \frac{4}{5}

4 \cdot 26

What is ((xy^{-2}z^{-3})^2)/((x^2y^3)^{-3)} ?
The solution to ((xy^{-2}z^{-3})^2)/((x^2y^3)^{-3)} is (x^8y^5)/(z^6)