What is ((3mn^2))/(5mn^2)((8mn^3)/(2mn))^2 ?

The solution to ((3mn^2))/(5mn^2)((8mn^3)/(2mn))^2 is (48n^4)/5

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simplify ((3mn^2))/(5mn^2)((8mn^3)/(2mn))^2

simplify

\frac{( 3 m n ^{2} )}{5 m n ^{2}} (\frac{8 m n ^{3}}{2 mn})^{2}

\frac{48 n ^{4}}{5}

Solution steps

\frac{3 m n ^{2}}{5 m n ^{2}} (\frac{8 m n ^{3}}{2 mn})^{2}

Simplify

(\frac{8 m n ^{3}}{2 mn})^{2} : 16 n^{4}

= \frac{3 m n ^{2}}{5 m n ^{2}} \cdot 16 n^{4}

Cancel

\frac{3 m n ^{2}}{5 m n ^{2}} : \frac{3}{5}

= \frac{3}{5} \cdot 16 n^{4}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 16 n ^{4}}{5}

Multiply the numbers:

3 \cdot 16 = 48

= \frac{48 n ^{4}}{5}

x^{4} - 4 x^{3} - x^{2} + 4 x \leq 0

6.29 x^{2} + 0.66 x + 0.1089 = 0

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3 a^{3} b^{2} - 5 a^{3} b^{2}

7 y - 4 + 3 y + 6 = 9 y + 8

What is ((3mn^2))/(5mn^2)((8mn^3)/(2mn))^2 ?
The solution to ((3mn^2))/(5mn^2)((8mn^3)/(2mn))^2 is (48n^4)/5