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Popular >

simplify e^{ln(x^{-4})}

Solution

simplify

e^{l n (x^{- 4})}

Solution

\frac{1}{x ^{4}}

Solution steps

e^{l n (x^{- 4})}

Simplify

ln (x^{- 4}) : - 4 ln (x)

= e^{- 4 l n (x)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (x)})^{- 4}

Apply log rule:

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

e^{l n (x)} = x

= x^{- 4}

Apply exponent rule:

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

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

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Frequently Asked Questions (FAQ)

What is e^{ln(x^{-4})} ?
The solution to e^{ln(x^{-4})} is 1/(x^4)