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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:

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

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

1^{\frac{- 1}{5}} = 1

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

Simplify

(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}}

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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}