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Popular >

simplify (1/(sqrt(y)))^{-1/5}

Solution

simplify

(\frac{1}{y})^{- \frac{1}{5}}

Solution

y^{\frac{1}{10}}

Solution steps

(\frac{1}{y})^{- \frac{1}{5}}

Apply exponent rule:

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

(\frac{1}{y})^{- \frac{1}{5}} = \frac{1}{( \frac{1}{y} ) ^{\frac{1}{5}}}

= \frac{1}{( \frac{1}{y} ) ^{\frac{1}{5}}}

Simplify

(\frac{1}{y})^{\frac{1}{5}} : \frac{1}{y ^{\frac{1}{10}}}

= \frac{1}{\frac{1}{y ^{\frac{1}{10}}}}

Simplify

\frac{1}{\frac{1}{y ^{\frac{1}{10}}}} : y^{\frac{1}{10}}

= y^{\frac{1}{10}}

Popular Examples

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Frequently Asked Questions (FAQ)

What is (1/(sqrt(y)))^{-1/5} ?
The solution to (1/(sqrt(y)))^{-1/5} is y^{1/10}