What is ((5m*n^3)^3)/(((3m^2*n^4)^2)) ?

The solution to ((5m*n^3)^3)/(((3m^2*n^4)^2)) is (125n)/(9m)

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simplify ((5mn^3)^3)/(((3m^2n^4)^2))

simplify

\frac{( 5 m \cdot n ^{3} ) ^{3}}{( ( 3 m ^{2} \cdot n ^{4} ) ^{2} )}

\frac{125 n}{9 m}

Solution steps

\frac{( 5 m n ^{3} ) ^{3}}{( 3 m ^{2} n ^{4} ) ^{2}}

Simplify

(5 m n^{3})^{3} : 125 m^{3} n^{9}

= \frac{125 m ^{3} n ^{9}}{( 3 m ^{2} n ^{4} ) ^{2}}

Simplify

(3 m^{2} n^{4})^{2} : 9 m^{4} n^{8}

= \frac{125 m ^{3} n ^{9}}{9 m ^{4} n ^{8}}

Simplify

\frac{n ^{9}}{n ^{8}} : n

= \frac{125 m ^{3} n}{9 m ^{4}}

Simplify

\frac{m ^{3}}{m ^{4}} : \frac{1}{m}

= \frac{125 n}{9 m}

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What is ((5m*n^3)^3)/(((3m^2*n^4)^2)) ?
The solution to ((5m*n^3)^3)/(((3m^2*n^4)^2)) is (125n)/(9m)