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

Decimal Notation

0.29629 \dots

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}}

Apply the fraction rule:

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

= \frac{8}{27}

Popular Examples

2 j + 2 j = 16

simplify 330*pi/(180)simplify

330 \cdot \frac{π}{180}

simplify 1/((a-b)(a-c))+1/((b-c)(b-a))+1/((c-a)(c-b))simplify

\frac{1}{( a - b ) ( a - c )} + \frac{1}{( b - c ) ( b - a )} + \frac{1}{( c - a ) ( c - b )}

factor a^2-2a+1 factor

a^{2} - 2 a + 1

5 \leq 1 - n

Frequently Asked Questions (FAQ)

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