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Popular >

simplify 5^{4^{-2}}

Solution

simplify

5^{4^{- 2}}

Solution

+1

Decimal Notation

1.10582 \dots

Solution steps

5^{4^{- 2}}

Apply exponent rule:

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

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

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

4^{2} = 16

= 5^{\frac{1}{16}}

Apply exponent rule:

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Frequently Asked Questions (FAQ)

What is 5^{4^{-2}} ?
The solution to 5^{4^{-2}} is \sqrt[16]{5}