What is (-2(v^{-1})^2)/(-5v) ?

The solution to (-2(v^{-1})^2)/(-5v) is 2/(5v^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-2(v^{-1})^2)/(-5v)

simplify

\frac{- 2 ( v ^{- 1} ) ^{2}}{- 5 v}

\frac{2}{5 v ^{3}}

Solution steps

\frac{- 2 ( v ^{- 1} ) ^{2}}{- 5 v}

Apply the fraction rule:

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

= \frac{2 ( v ^{- 1} ) ^{2}}{5 v}

Simplify

2 (v^{- 1})^{2} : \frac{2}{v ^{2}}

= \frac{\frac{2}{v ^{2}}}{5 v}

Apply the fraction rule:

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

= \frac{2}{v ^{2} \cdot 5 v}

Simplify

v^{2} v : v^{3}

= \frac{2}{v ^{3} \cdot 5}

= \frac{2}{5 v ^{3}}

18 - (- 4)

9 + 45

5 \frac{1}{5} - 16

x^{- 10}

6 \frac{3}{8}