What is (-20v)/(-4(v^{-1))^3} ?

The solution to (-20v)/(-4(v^{-1))^3} is 5v^4

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simplify (-20v)/(-4(v^{-1))^3}

simplify

\frac{- 20 v}{- 4 ( v ^{- 1} ) ^{3}}

5 v^{4}

Solution steps

\frac{- 20 v}{- 4 ( v ^{- 1} ) ^{3}}

Simplify

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

= \frac{- 20 v}{- 4 \cdot \frac{1}{v ^{3}}}

Apply the fraction rule:

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

= \frac{20 v}{4 \cdot \frac{1}{v ^{3}}}

Factor the number:

20 = 4 \cdot 5

= \frac{4 \cdot 5 v}{4 \cdot \frac{1}{v ^{3}}}

Cancel the common factor:

4

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

Simplify

\frac{5 v}{\frac{1}{v ^{3}}} : 5 v^{4}

= 5 v^{4}

(3)^{2} + (- 3)^{2}

- 9 - - 81 - 16 - - 4

2 (\frac{1}{2}) - 1

2 (- a) (3 - a)