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Popular >

simplify (5^{-1/5})^{-10}

Solution

simplify

(5^{- \frac{1}{5}})^{- 10}

Solution

25

Solution steps

(5^{- \frac{1}{5}})^{- 10}

Apply exponent rule:

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

= 5^{- \frac{1}{5} (- 10)}

- \frac{1}{5} (- 10) = 2

= 5^{2}

5^{2} = 25

= 25

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Frequently Asked Questions (FAQ)

What is (5^{-1/5})^{-10} ?
The solution to (5^{-1/5})^{-10} is 25