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Popular >

simplify ((-2)/(y^{-3)})^3

Solution

simplify

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

Solution

- 8 y^{9}

Solution steps

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

Apply exponent rule:

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

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

(- 2)^{3} = - 8

= \frac{- 8}{( y ^{- 3} ) ^{3}}

Simplify

(y^{- 3})^{3} : \frac{1}{y ^{9}}

= \frac{- 8}{\frac{1}{y ^{9}}}

Simplify

\frac{- 8}{\frac{1}{y ^{9}}} : - 8 y^{9}

= - 8 y^{9}

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Frequently Asked Questions (FAQ)

What is ((-2)/(y^{-3)})^3 ?
The solution to ((-2)/(y^{-3)})^3 is -8y^9