en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- \frac{8}{27}

+1

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{3}{2})^{3} = - \frac{27}{8}

= \frac{1}{- \frac{27}{8}}

\frac{1}{- \frac{27}{8}} = - \frac{8}{27}

= - \frac{8}{27}

Popular Examples

factor 16-8x+x^2 factor

16 - 8 x + x^{2}

simplify sqrt(1)-sqrt(-5)+sqrt(9)-sqrt(-5)simplify

1 - - 5 + 9 - - 5

simplify x^2+5/2 x+1 simplify

x^{2} + \frac{5}{2} x + 1

expand (x^2+6)(x^2+2)expand

(x^{2} + 6) (x^{2} + 2)

simplify 2sqrt(1 9/16)-1 simplify

2 1 \frac{9}{16} - 1

Frequently Asked Questions (FAQ)

What is (-3/2)^{-3} ?
The solution to (-3/2)^{-3} is -8/27