What is ((2v^4)^3)/(-6v^{-2)} ?

The solution to ((2v^4)^3)/(-6v^{-2)} is -(4v^{14})/3

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simplify ((2v^4)^3)/(-6v^{-2)}

simplify

\frac{( 2 v ^{4} ) ^{3}}{- 6 v ^{- 2}}

- \frac{4 v ^{14}}{3}

Solution steps

\frac{( 2 v ^{4} ) ^{3}}{- 6 v ^{- 2}}

Simplify

(2 v^{4})^{3} : 2^{3} v^{12}

= \frac{2 ^{3} v ^{12}}{- 6 v ^{- 2}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 ^{3} v ^{12}}{- 2 \cdot 3 v ^{- 2}}

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

= \frac{2 ^{2} v ^{12}}{- 3 v ^{- 2}}

Simplify

\frac{v ^{12}}{v ^{- 2}} : v^{14}

= \frac{2 ^{2} v ^{14}}{- 3}

Simplify

\frac{2 ^{2} v ^{14}}{- 3} : - \frac{4 v ^{14}}{3}

= - \frac{4 v ^{14}}{3}

(4 x^{3} + 5 y)^{2}

(x + y - 2)^{2}

12 \frac{1}{4}

\frac{1}{16} - \frac{1}{4}

\frac{\frac{x ^{2} + 9 x + 18}{7 x + 42}}{\frac{x ^{2} - 9}{x}}

What is ((2v^4)^3)/(-6v^{-2)} ?
The solution to ((2v^4)^3)/(-6v^{-2)} is -(4v^{14})/3