What is (45m^{-6}p^2v^{12})/(15m^{-2)p^8v^{-4}} ?

The solution to (45m^{-6}p^2v^{12})/(15m^{-2)p^8v^{-4}} is (3v^{16})/(m^4p^6)

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simplify (45m^{-6}p^2v^{12})/(15m^{-2)p^8v^{-4}}

simplify

\frac{45 m ^{- 6} p ^{2} v ^{12}}{15 m ^{- 2} p ^{8} v ^{- 4}}

\frac{3 v ^{16}}{m ^{4} p ^{6}}

Solution steps

\frac{45 m ^{- 6} p ^{2} v ^{12}}{15 m ^{- 2} p ^{8} v ^{- 4}}

Factor the number:

45 = 15 \cdot 3

= \frac{15 \cdot 3 m ^{- 6} p ^{2} v ^{12}}{15 m ^{- 2} p ^{8} v ^{- 4}}

Cancel the common factor:

15

= \frac{3 m ^{- 6} p ^{2} v ^{12}}{m ^{- 2} p ^{8} v ^{- 4}}

Simplify

\frac{v ^{12}}{v ^{- 4}} : v^{16}

= \frac{3 m ^{- 6} p ^{2} v ^{16}}{m ^{- 2} p ^{8}}

Simplify

\frac{m ^{- 6}}{m ^{- 2}} : \frac{1}{m ^{4}}

= \frac{3 p ^{2} v ^{16}}{m ^{4} p ^{8}}

Simplify

\frac{p ^{2}}{p ^{8}} : \frac{1}{p ^{6}}

= \frac{3 v ^{16}}{m ^{4} p ^{6}}

12 + (- 8)

\frac{2}{x ^{2}} + \frac{4}{x ^{2}}

8 - 2 x^{4}

\frac{3}{8} - \frac{1}{3}

\frac{8 - 7 x - x ^{2}}{x + 8} \cdot \frac{x + 5}{9 x - 9}

What is (45m^{-6}p^2v^{12})/(15m^{-2)p^8v^{-4}} ?
The solution to (45m^{-6}p^2v^{12})/(15m^{-2)p^8v^{-4}} is (3v^{16})/(m^4p^6)