What is (((27x^{12})}{(64y^3)})^{\frac{-1)/3} ?

The solution to (((27x^{12})}{(64y^3)})^{\frac{-1)/3} is (4y)/(3x^4)

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simplify (((27x^{12})}{(64y^3)})^{\frac{-1)/3}

simplify

(\frac{( 27 x ^{12} )}{( 64 y ^{3} )})^{\frac{- 1}{3}}

\frac{4 y}{3 x ^{4}}

Solution steps

(\frac{27 x ^{12}}{64 y ^{3}})^{\frac{- 1}{3}}

Apply exponent rule:

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

= \frac{( 27 x ^{12} ) ^{\frac{- 1}{3}}}{( 64 y ^{3} ) ^{\frac{- 1}{3}}}

Simplify

(27 x^{12})^{\frac{- 1}{3}} : \frac{1}{3 x ^{4}}

= \frac{\frac{1}{3 x ^{4}}}{( 64 y ^{3} ) ^{\frac{- 1}{3}}}

Simplify

(64 y^{3})^{\frac{- 1}{3}} : \frac{1}{4 y}

= \frac{\frac{1}{3 x ^{4}}}{\frac{1}{4 y}}

Simplify

\frac{\frac{1}{3 x ^{4}}}{\frac{1}{4 y}} : \frac{4 y}{3 x ^{4}}

= \frac{4 y}{3 x ^{4}}

(\frac{( x ^{- 4} )}{( 4 y ^{6} )})^{\frac{1}{2}}

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

p (p - 1) (p - 2) (p - 3) (p - 4) (p - 5)

(\frac{2 x ^{2} + 5}{3 y})^{2}

[(a^{- 1})]^{- 1}

What is (((27x^{12})}{(64y^3)})^{\frac{-1)/3} ?
The solution to (((27x^{12})}{(64y^3)})^{\frac{-1)/3} is (4y)/(3x^4)