What is ((u^2)/(2v))^{-3} ?

The solution to ((u^2)/(2v))^{-3} is (8v^3)/(u^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{8 v ^{3}}{u ^{6}}

Solution steps

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

Apply exponent rule:

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

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

= \frac{1}{( \frac{u ^{2}}{2 v} ) ^{3}}

Simplify

(\frac{u ^{2}}{2 v})^{3} : \frac{u ^{6}}{8 v ^{3}}

= \frac{1}{\frac{u ^{6}}{8 v ^{3}}}

Apply the fraction rule:

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

= \frac{8 v ^{3}}{u ^{6}}

\frac{12}{5}

46656

y^{2} + 10 y

8 (p - 6 - 5)

\frac{39}{91}