en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

+1

Decimal Notation

1.17220 \dots

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}}

Popular Examples

simplify 2.3*10^{-8}simplify

2.3 \cdot 1 0^{- 8}

simplify (2a^3)(3a^2)simplify

(2 a^{3}) (3 a^{2})

simplify 7.2*10^{-6}simplify

7.2 \cdot 1 0^{- 6}

simplify 10\sqrt[3]{x^2}simplify

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

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

Frequently Asked Questions (FAQ)

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