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Popular >

simplify (a^5)^{-2}

Solution

simplify

(a^{5})^{- 2}

Solution

\frac{1}{a ^{10}}

Solution steps

(a^{5})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= a^{5 (- 2)}

5 (- 2) = - 10

= a^{- 10}

Apply exponent rule:

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

a^{- 10} = \frac{1}{a ^{10}}

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

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Frequently Asked Questions (FAQ)

What is (a^5)^{-2} ?
The solution to (a^5)^{-2} is 1/(a^{10)}