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

The solution to (3a)/(b^{-3)} is 3ab^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a)/(b^{-3)}

simplify

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

3 a b^{3}

Solution steps

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

Apply exponent rule:

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

b^{- 3} = \frac{1}{b ^{3}}

= \frac{3 a}{\frac{1}{b ^{3}}}

Apply the fraction rule:

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

= \frac{3 a b ^{3}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 3 a b^{3}

8 8^{2}

\frac{31 4 ^{162}}{162}

\frac{7}{3} - \frac{4}{3}

\frac{512}{2}

\frac{( x ^{6} y ^{3} ) ^{\frac{- 1}{3}}}{( x ^{4} y ^{2} ) ^{\frac{- 1}{2}}}