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Popular >

simplify ((3u^5)^3)/(6u^7)

Solution

simplify

\frac{( 3 u ^{5} ) ^{3}}{6 u ^{7}}

Solution

\frac{9 u ^{8}}{2}

Solution steps

\frac{( 3 u ^{5} ) ^{3}}{6 u ^{7}}

Simplify

(3 u^{5})^{3} : 3^{3} u^{15}

= \frac{3 ^{3} u ^{15}}{6 u ^{7}}

Factor the number:

6 = 3 \cdot 2

= \frac{3 ^{3} u ^{15}}{3 \cdot 2 u ^{7}}

\frac{3 ^{3}}{3} = 3^{2}

= \frac{3 ^{2} u ^{15}}{2 u ^{7}}

Simplify

\frac{u ^{15}}{u ^{7}} : u^{8}

= \frac{3 ^{2} u ^{8}}{2}

3^{2} = 9

= \frac{9 u ^{8}}{2}

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Frequently Asked Questions (FAQ)

What is ((3u^5)^3)/(6u^7) ?
The solution to ((3u^5)^3)/(6u^7) is (9u^8)/2