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

The solution to (15m^2)/(3(m^5)^3) is 5/(m^{13)}

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

simplify

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

\frac{5}{m ^{13}}

Solution steps

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

Simplify

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

= \frac{15 m ^{2}}{3 m ^{15}}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 m ^{2}}{3 m ^{15}}

Cancel the common factor:

3

= \frac{5 m ^{2}}{m ^{15}}

Simplify

\frac{m ^{2}}{m ^{15}} : \frac{1}{m ^{13}}

= \frac{5}{m ^{13}}

2 - 3 x - 2 x^{2}

3 a \cdot a

\frac{cot ( t )}{csc ( t ) - sin ( t )}

(20 x^{25} - 12 b^{30}) (20 x^{25} + 12 b^{30})

(3 v)^{4}