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Popular >

simplify p^{2/5}*p^{-2}

Solution

simplify

p^{\frac{2}{5}} \cdot p^{- 2}

Solution

\frac{1}{p ^{\frac{8}{5}}}

Solution steps

p^{\frac{2}{5}} p^{- 2}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

p^{\frac{2}{5}} p^{- 2} = p^{\frac{2}{5} - 2}

= p^{\frac{2}{5} - 2}

\frac{2}{5} - 2 = - \frac{8}{5}

= p^{- \frac{8}{5}}

Apply exponent rule:

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

p^{- \frac{8}{5}} = \frac{1}{p ^{\frac{8}{5}}}

= \frac{1}{p ^{\frac{8}{5}}}

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Frequently Asked Questions (FAQ)

What is p^{2/5}*p^{-2} ?
The solution to p^{2/5}*p^{-2} is 1/(p^{8/5)}