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Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

0.54134 \dots

Solution steps

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

Apply exponent rule:

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

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

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

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

Multiply fractions:

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

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

Multiply:

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

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

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