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Popular >

simplify e^{-4log_{e}(3)}

Solution

simplify

e^{- 4 l o g_{e} (3)}

Solution

\frac{1}{81}

+1

Solution steps

e^{- 4 l o g_{e} (3)}

Apply exponent rule:

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

= \frac{1}{e ^{4 l o g_{e} (3)}}

e^{4 l o g_{e} (3)} = 3^{4}

= \frac{1}{3 ^{4}}

3^{4} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is e^{-4log_{e}(3)} ?
The solution to e^{-4log_{e}(3)} is 1/81