What is (a/b)^{-3}*(a^{-1})^{-2} ?

The solution to (a/b)^{-3}*(a^{-1})^{-2} is (b^3)/a

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (a/b)^{-3}*(a^{-1})^{-2}

simplify

(\frac{a}{b})^{- 3} \cdot (a^{- 1})^{- 2}

\frac{b ^{3}}{a}

Solution steps

(\frac{a}{b})^{- 3} (a^{- 1})^{- 2}

Simplify

(\frac{a}{b})^{- 3} : \frac{b ^{3}}{a ^{3}}

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

Simplify

(a^{- 1})^{- 2} : a^{2}

= \frac{b ^{3}}{a ^{3}} a^{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{b ^{3} a ^{2}}{a ^{3}}

Simplify

\frac{a ^{2}}{a ^{3}} : \frac{1}{a}

= \frac{b ^{3}}{a}

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

y^{8} - 1

4 x^{2} + 9 = 15

49 x^{2} - 70 x + 25

3 x^{2} + 18 x + 27

What is (a/b)^{-3}*(a^{-1})^{-2} ?
The solution to (a/b)^{-3}*(a^{-1})^{-2} is (b^3)/a