en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2e^{-2})^{-4}

Solution

simplify

(2 e^{- 2})^{- 4}

Solution

\frac{e ^{8}}{16}

+1

Decimal Notation

186.30987 \dots

Solution steps

(2 e^{- 2})^{- 4}

Apply exponent rule:

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

= \frac{1}{( 2 e ^{- 2} ) ^{4}}

(2 e^{- 2})^{4} = \frac{2 ^{4}}{e ^{8}}

= \frac{1}{\frac{2 ^{4}}{e ^{8}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{e ^{8}}{2 ^{4}}

2^{4} = 16

= \frac{e ^{8}}{16}

Popular Examples

simplify e^{-0.2019}simplify

e^{- 0.2019}

simplify e^{2x}*2xe^{2x}simplify

e^{2 x} \cdot 2 x e^{2 x}

simplify (1/9)^{-1.5}*(1/8)^{2/3}simplify

(\frac{1}{9})^{- 1.5} \cdot (\frac{1}{8})^{\frac{2}{3}}

simplify 0.02e^{-0.02*12}simplify

0.02 e^{- 0.02 \cdot 12}

simplify x^4e^{-5x}simplify

x^{4} e^{- 5 x}

Frequently Asked Questions (FAQ)

What is (2e^{-2})^{-4} ?
The solution to (2e^{-2})^{-4} is (e^8)/(16)