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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

- 0.03663 \dots

Solution steps

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

Apply exponent rule:

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

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

Remove parentheses:

(- a) = - a

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

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

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