What is (-3(v^{-1})^5)/(2v^{-1)} ?

The solution to (-3(v^{-1})^5)/(2v^{-1)} is -3/(2v^4)

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simplify (-3(v^{-1})^5)/(2v^{-1)}

simplify

\frac{- 3 ( v ^{- 1} ) ^{5}}{2 v ^{- 1}}

- \frac{3}{2 v ^{4}}

Solution steps

\frac{- 3 ( v ^{- 1} ) ^{5}}{2 v ^{- 1}}

Apply the fraction rule:

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

= - \frac{3 ( v ^{- 1} ) ^{5}}{2 v ^{- 1}}

Simplify

3 (v^{- 1})^{5} : \frac{3}{v ^{5}}

= - \frac{\frac{3}{v ^{5}}}{2 v ^{- 1}}

Apply the fraction rule:

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

\frac{\frac{3}{v ^{5}}}{2 v ^{- 1}} = \frac{3}{v ^{5} \cdot 2 v ^{- 1}}

= - \frac{3}{v ^{5} \cdot 2 v ^{- 1}}

Simplify

v^{5} v^{- 1} : v^{4}

= - \frac{3}{v ^{4} \cdot 2}

= - \frac{3}{2 v ^{4}}

\frac{4 ( x + h ) ^{2} - 4 x ^{2}}{h}

\frac{36 y ^{2} + 72 y}{9 y}

1 + x \cdot 1 + x

1 \frac{9}{16}

14 + (- 3)

What is (-3(v^{-1})^5)/(2v^{-1)} ?
The solution to (-3(v^{-1})^5)/(2v^{-1)} is -3/(2v^4)