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Popular >

simplify 25^{-4^{-2^{-1}}}

Solution

simplify

2 5^{- 4^{- 2^{- 1}}}

Solution

\frac{1}{5}

+1

Solution steps

2 5^{- 4^{- 2^{- 1}}}

Apply exponent rule:

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

2 5^{- 4^{- 2^{- 1}}} = \frac{1}{2 5 ^{4^{- 2^{- 1}}}}

= \frac{1}{2 5 ^{4^{- 2^{- 1}}}}

2 5^{4^{- 2^{- 1}}} = 5

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

What is 25^{-4^{-2^{-1}}} ?
The solution to 25^{-4^{-2^{-1}}} is 1/5