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Popular >

simplify (81^8)^{-1/4}

Solution

simplify

(8 1^{8})^{- \frac{1}{4}}

Solution

\frac{1}{6561}

+1

Solution steps

(8 1^{8})^{- \frac{1}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 8 1^{8 (- \frac{1}{4})}

8 (- \frac{1}{4}) = - 2

= 8 1^{- 2}

Apply exponent rule:

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

8 1^{- 2} = \frac{1}{8 1 ^{2}}

= \frac{1}{8 1 ^{2}}

8 1^{2} = 6561

= \frac{1}{6561}

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Frequently Asked Questions (FAQ)

What is (81^8)^{-1/4} ?
The solution to (81^8)^{-1/4} is 1/6561