What is (-3v^{-8})/(-2(v^{-2))^3} ?

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

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simplify (-3v^{-8})/(-2(v^{-2))^3}

simplify

\frac{- 3 v ^{- 8}}{- 2 ( v ^{- 2} ) ^{3}}

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

Solution steps

\frac{- 3 v ^{- 8}}{- 2 ( v ^{- 2} ) ^{3}}

Apply the fraction rule:

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

= \frac{3 v ^{- 8}}{2 ( v ^{- 2} ) ^{3}}

Simplify

3 v^{- 8} : \frac{3}{v ^{8}}

= \frac{\frac{3}{v ^{8}}}{2 ( v ^{- 2} ) ^{3}}

Apply the fraction rule:

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

= \frac{3}{v ^{8} \cdot 2 ( v ^{- 2} ) ^{3}}

Simplify

v^{8} \cdot 2 (v^{- 2})^{3} : v^{2} \cdot 2

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

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

4 x (x^{2} - 4)

- 8 x^{3} - 2 x^{2} - 12 x - 3

\frac{1 - 2}{2}

\frac{12 - 4 x}{x - 3}

What is (-3v^{-8})/(-2(v^{-2))^3} ?
The solution to (-3v^{-8})/(-2(v^{-2))^3} is 3/(2v^2)