en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-5/2)^{-3}

Solution

simplify

(- \frac{5}{2})^{- 3}

Solution

- \frac{8}{125}

+1

Decimal Notation

- 0.064

Solution steps

(- \frac{5}{2})^{- 3}

Apply exponent rule:

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

(- \frac{5}{2})^{- 3} = \frac{1}{( - \frac{5}{2} ) ^{3}}

= \frac{1}{( - \frac{5}{2} ) ^{3}}

(- \frac{5}{2})^{3} = - \frac{125}{8}

= \frac{1}{- \frac{125}{8}}

\frac{1}{- \frac{125}{8}} = - \frac{8}{125}

= - \frac{8}{125}

Popular Examples

factor 81+18j+j^2 factor

81 + 18 j + j^{2}

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

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

x^{2} + 14 x = - 48

(x + 3)^{2} = 12

simplify ((-4)/2)^2 simplify

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

Frequently Asked Questions (FAQ)

What is (-5/2)^{-3} ?
The solution to (-5/2)^{-3} is -8/125