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Popular >

simplify-1/2 e^{-2(-1)}

Solution

simplify

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

Solution

- \frac{e ^{2}}{2}

+1

Decimal Notation

- 3.69452 \dots

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

What is simplify-1/2 e^{-2(-1)} ?
The solution to simplify-1/2 e^{-2(-1)} is -(e^2)/2