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Popular >

simplify a^{-log_{a}(b)}

Solution

simplify

a^{- l o g_{a} (b)}

Solution

\frac{1}{b}

Solution steps

a^{- l o g_{a} (b)}

Apply exponent rule:

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

= \frac{1}{a ^{l o g_{a} (b)}}

a^{l o g_{a} (b)} = b

= \frac{1}{b}

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Frequently Asked Questions (FAQ)

What is a^{-log_{a}(b)} ?
The solution to a^{-log_{a}(b)} is 1/b