en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4/(e^2))^{-3/2}

Solution

simplify

(\frac{4}{e ^{2}})^{- \frac{3}{2}}

Solution

\frac{e ^{3}}{8}

+1

Decimal Notation

2.51069 \dots

Solution steps

(\frac{4}{e ^{2}})^{- \frac{3}{2}}

Apply exponent rule:

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

= \frac{1}{( \frac{4}{e ^{2}} ) ^{\frac{3}{2}}}

(\frac{4}{e ^{2}})^{\frac{3}{2}} = \frac{8}{e ^{3}}

= \frac{1}{\frac{8}{e ^{3}}}

Apply the fraction rule:

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

= \frac{e ^{3}}{8}

Popular Examples

simplify (x^2y)(4xy^3)simplify

(x^{2} y) (4 x y^{3})

simplify \sqrt[3]{(2x-a)(a-x)^2}simplify

simplify 600e^{-0.032(6)}simplify

600 e^{- 0.032 (6)}

simplify 600e^{-0.032(8)}simplify

600 e^{- 0.032 (8)}

simplify sqrt(\sqrt{\sqrt{(2/3)^{16)}}}simplify

(\frac{2}{3})^{16}

Frequently Asked Questions (FAQ)

What is (4/(e^2))^{-3/2} ?
The solution to (4/(e^2))^{-3/2} is (e^3)/8