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

The solution to (v^3w^{-3})/(-v^{-6)w^3} is -(v^9)/(w^6)

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simplify (v^3w^{-3})/(-v^{-6)w^3}

simplify

\frac{v ^{3} w ^{- 3}}{- v ^{- 6} w ^{3}}

- \frac{v ^{9}}{w ^{6}}

Solution steps

\frac{v ^{3} w ^{- 3}}{- v ^{- 6} w ^{3}}

Apply the fraction rule:

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

= - \frac{v ^{3} w ^{- 3}}{v ^{- 6} w ^{3}}

Apply exponent rule:

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

\frac{v ^{3}}{v ^{- 6}} = v^{3 - (- 6)}

= \frac{w ^{- 3} v ^{3 - (- 6)}}{w ^{3}}

Subtract the numbers:

3 - (- 6) = 9

= \frac{v ^{9} w ^{- 3}}{w ^{3}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{w ^{- 3}}{w ^{3}} = \frac{1}{w ^{3 - (- 3)}}

= \frac{v ^{9}}{w ^{3 - (- 3)}}

Subtract the numbers:

3 - (- 3) = 6

= - \frac{v ^{9}}{w ^{6}}

x^{4} - 6 x^{2} + 8

16 n^{2} - 25

0 = 25 - x^{2}

x^{2} - 8 x = 6

What is (v^3w^{-3})/(-v^{-6)w^3} ?
The solution to (v^3w^{-3})/(-v^{-6)w^3} is -(v^9)/(w^6)