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Popular >

simplify e^{-2}(ln(e^{-2}))^2

Solution

simplify

e^{- 2} (ln (e^{- 2}))^{2}

Solution

\frac{4}{e ^{2}}

+1

Decimal Notation

0.54134 \dots

Solution steps

e^{- 2} (ln (e^{- 2}))^{2}

Apply exponent rule:

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

= \frac{1}{e ^{2}} (ln (e^{- 2}))^{2}

ln^{2} (e^{- 2}) = 2^{2}

= 2^{2} \cdot \frac{1}{e ^{2}}

Simplify

= \frac{4}{e ^{2}}

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Frequently Asked Questions (FAQ)

What is e^{-2}(ln(e^{-2}))^2 ?
The solution to e^{-2}(ln(e^{-2}))^2 is 4/(e^2)