What is (15u^2)/(3(u^5)^2) ?

The solution to (15u^2)/(3(u^5)^2) is 5/(u^8)

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simplify (15u^2)/(3(u^5)^2)

simplify

\frac{15 u ^{2}}{3 ( u ^{5} ) ^{2}}

\frac{5}{u ^{8}}

Solution steps

\frac{15 u ^{2}}{3 ( u ^{5} ) ^{2}}

Simplify

(u^{5})^{2} : u^{10}

= \frac{15 u ^{2}}{3 u ^{10}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 u ^{2}}{3 u ^{10}}

Cancel the common factor:

3

= \frac{5 u ^{2}}{u ^{10}}

Simplify

\frac{u ^{2}}{u ^{10}} : \frac{1}{u ^{8}}

= \frac{5}{u ^{8}}

25 \cdot 4

\frac{- 9}{5} \div 2

\frac{6}{12}

(2 a - b) (2 a + b)

\frac{1}{8} + \frac{1}{10}