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Popular >

simplify (-2)^6*e^{-(-2)^2}

Solution

simplify

(- 2)^{6} \cdot e^{- (- 2)^{2}}

Solution

\frac{64}{e ^{4}}

+1

Solution steps

(- 2)^{6} e^{- (- 2)^{2}}

Apply exponent rule:

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

= (- 2)^{6} \frac{1}{e ^{(- 2)^{2}}}

(- 2)^{6} = 2^{6}

= 2^{6} \cdot \frac{1}{e ^{(- 2)^{2}}}

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

= 2^{6} \cdot \frac{1}{e ^{2^{2}}}

Multiply fractions:

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

= \frac{1 \cdot 2 ^{6}}{e ^{2^{2}}}

Multiply:

1 \cdot 2^{6} = 2^{6}

= \frac{2 ^{6}}{e ^{2^{2}}}

2^{6} = 64

= \frac{64}{e ^{2^{2}}}

2^{2} = 4

= \frac{64}{e ^{4}}

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Frequently Asked Questions (FAQ)

What is (-2)^6*e^{-(-2)^2} ?
The solution to (-2)^6*e^{-(-2)^2} is (64)/(e^4)