What is (6^2u^3v^{-3})/(12u^{-2)v} ?

The solution to (6^2u^3v^{-3})/(12u^{-2)v} is (3u^5)/(v^4)

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simplify (6^2u^3v^{-3})/(12u^{-2)v}

simplify

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

\frac{3 u ^{5}}{v ^{4}}

Solution steps

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

Factor the number:

12 = 6 \cdot 2

= \frac{6 ^{2} u ^{3} v ^{- 3}}{6 \cdot 2 u ^{- 2} v}

\frac{6 ^{2}}{6} = 6

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

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

Simplify

\frac{u ^{3}}{u ^{- 2}} : u^{5}

= \frac{3 u ^{5} v ^{- 3}}{v}

Simplify

\frac{v ^{- 3}}{v} : \frac{1}{v ^{4}}

= \frac{3 u ^{5}}{v ^{4}}

\frac{1}{4} (12) + 1

- 2 (- x + 5) + 6 (3 x + 1) = - 3 (2 x - 5) - 4 (1 + 4 x) - 8

3 x^{2} + 5 = 11 x

(\frac{25}{2})^{2}

lo g_{\frac{1}{2}} (\frac{1 - x}{2 - x}) < 0

What is (6^2u^3v^{-3})/(12u^{-2)v} ?
The solution to (6^2u^3v^{-3})/(12u^{-2)v} is (3u^5)/(v^4)