What is (-3(v^3)^{-5})/(6s^{-7)} ?

The solution to (-3(v^3)^{-5})/(6s^{-7)} is -(s^7)/(2v^{15)}

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simplify (-3(v^3)^{-5})/(6s^{-7)}

simplify

\frac{- 3 ( v ^{3} ) ^{- 5}}{6 s ^{- 7}}

- \frac{s ^{7}}{2 v ^{15}}

Solution steps

\frac{- 3 ( v ^{3} ) ^{- 5}}{6 s ^{- 7}}

Simplify

(v^{3})^{- 5} : \frac{1}{v ^{15}}

= \frac{- 3 \cdot \frac{1}{v ^{15}}}{6 s ^{- 7}}

Factor the number:

6 = 3 \cdot 2

= \frac{- 3 \cdot \frac{1}{v ^{15}}}{3 \cdot 2 s ^{- 7}}

Cancel the common factor:

3

= \frac{- \frac{1}{v ^{15}}}{2 s ^{- 7}}

Simplify

\frac{- \frac{1}{v ^{15}}}{2 s ^{- 7}} : - \frac{s ^{7}}{v ^{15} \cdot 2}

= - \frac{s ^{7}}{v ^{15} \cdot 2}

= - \frac{s ^{7}}{2 v ^{15}}

4 A + 2 = A + 5

4 x^{2} - 16 x + 16

2 = - \frac{2}{3} (4) + b

k^{2} - j^{2}

(x^{\frac{2}{3}} y) (x^{- 2} y)^{\frac{1}{2}}

What is (-3(v^3)^{-5})/(6s^{-7)} ?
The solution to (-3(v^3)^{-5})/(6s^{-7)} is -(s^7)/(2v^{15)}