What is (54vw^5)/(12v^5w^5) ?

The solution to (54vw^5)/(12v^5w^5) is 9/(2v^4)

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simplify (54vw^5)/(12v^5w^5)

simplify

\frac{54 v w ^{5}}{12 v ^{5} w ^{5}}

\frac{9}{2 v ^{4}}

Solution steps

\frac{54 v w ^{5}}{12 v ^{5} w ^{5}}

Cancel the common factor:

w^{5}

= \frac{54 v}{12 v ^{5}}

Factor the number:

54 = 6 \cdot 9

= \frac{6 \cdot 9 v}{12 v ^{5}}

Factor the number:

12 = 6 \cdot 2

= \frac{6 \cdot 9 v}{6 \cdot 2 v ^{5}}

Cancel the common factor:

6

= \frac{9 v}{2 v ^{5}}

Simplify

\frac{v}{v ^{5}} : \frac{1}{v ^{4}}

= \frac{9}{2 v ^{4}}

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