What is ((8e^2)/(2e^5))^{-1} ?

The solution to ((8e^2)/(2e^5))^{-1} is (e^3)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((8e^2)/(2e^5))^{-1}

simplify

(\frac{8 e ^{2}}{2 e ^{5}})^{- 1}

\frac{e ^{3}}{4}

Decimal Notation

5.02138 \dots

Solution steps

(\frac{8 e ^{2}}{2 e ^{5}})^{- 1}

Apply exponent rule:

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

= \frac{1}{( \frac{8 e ^{2}}{2 e ^{5}} )}

Apply the fraction rule:

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

= \frac{2 e ^{5}}{8 e ^{2}}

Cancel the common factor:

2

= \frac{e ^{5}}{4 e ^{2}}

Apply exponent rule:

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

\frac{e ^{5}}{e ^{2}} = e^{5 - 2}

= \frac{e ^{5 - 2}}{4}

Subtract the numbers:

5 - 2 = 3

= \frac{e ^{3}}{4}

x^{2} + 14 x = - 48

(x + 3)^{2} = 12

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

49 v^{2} - 81 w^{2}

4 x + 2 > 14 and - 21 x + 1 > 22