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Popular >

simplify 5^{-log_{5}(4)}

Solution

simplify

5^{- l o g_{5} (4)}

Solution

\frac{1}{4}

+1

Decimal Notation

0.25

Solution steps

5^{- l o g_{5} (4)}

Apply exponent rule:

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

= \frac{1}{5 ^{l o g_{5} (4)}}

5^{l o g_{5} (4)} = 4

= \frac{1}{4}

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Frequently Asked Questions (FAQ)

What is 5^{-log_{5}(4)} ?
The solution to 5^{-log_{5}(4)} is 1/4