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Popular >

simplify (1/(3y^3))^{-3}

Solution

simplify

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

Solution

27 y^{9}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= \frac{1}{( \frac{1}{3 y ^{3}} ) ^{3}}

Simplify

(\frac{1}{3 y ^{3}})^{3} : \frac{1}{27 y ^{9}}

= \frac{1}{\frac{1}{27 y ^{9}}}

Simplify

\frac{1}{\frac{1}{27 y ^{9}}} : 27 y^{9}

= 27 y^{9}

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Frequently Asked Questions (FAQ)

What is (1/(3y^3))^{-3} ?
The solution to (1/(3y^3))^{-3} is 27y^9