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Popular >

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

Solution

simplify

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

Solution

\frac{1}{a ^{8}}

Solution steps

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

(a^{2})^{- 2} : a^{- 4}

= (a^{- 4})^{2}

Apply exponent rule:

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

= a^{(- 4) \cdot 2}

(- 4) \cdot 2 = - 8

= a^{- 8}

Apply exponent rule:

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

= \frac{1}{a ^{8}}

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Frequently Asked Questions (FAQ)

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