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Popular >

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

Solution

simplify

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

Solution

27 x^{3} y^{3} z^{6}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(3 x y)^{3} : 27 x^{3} y^{3}

= \frac{27 x ^{3} y ^{3}}{( z ^{- 2} ) ^{3}}

Simplify

(z^{- 2})^{3} : \frac{1}{z ^{6}}

= \frac{27 x ^{3} y ^{3}}{\frac{1}{z ^{6}}}

Simplify

\frac{27 x ^{3} y ^{3}}{\frac{1}{z ^{6}}} : 27 x^{3} y^{3} z^{6}

= 27 x^{3} y^{3} z^{6}

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Frequently Asked Questions (FAQ)

What is ((3xy)/(z^{-2)})^3 ?
The solution to ((3xy)/(z^{-2)})^3 is 27x^3y^3z^6