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Popular >

simplify 5^{(-log_{5}(2))}

Solution

simplify

5^{(- l o g_{5} (2))}

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

5^{(- l o g_{5} (2))}

Apply exponent rule:

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

= \frac{1}{5 ^{l o g_{5} (2)}}

5^{l o g_{5} (2)} = 2

= \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 5^{(-log_{5}(2))} ?
The solution to 5^{(-log_{5}(2))} is 1/2