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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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}

a - 5 < - 1

- 6 x + 35 = - 6 x + 35

x^{2} y + y + x^{2} + 1

x + 2 (0) = 10

x^{2} - 3 x = - 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