What is (5x}{2y}*(2x)/(5y)*\frac{3x)/2 ?

The solution to (5x}{2y}*(2x)/(5y)*\frac{3x)/2 is (3x^3)/(2y^2)

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simplify (5x}{2y}(2x)/(5y)\frac{3x)/2

simplify

\frac{5 x}{2 y} \cdot \frac{2 x}{5 y} \cdot \frac{3 x}{2}

\frac{3 x ^{3}}{2 y ^{2}}

Solution steps

\frac{5 x}{2 y} \cdot \frac{2 x}{5 y} \cdot \frac{3 x}{2}

Apply the fraction rule:

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

= \frac{5 x \cdot 2 x \cdot 3 x}{2 y \cdot 5 y \cdot 2}

Simplify

\frac{5 x \cdot 2 x \cdot 3 x}{2 y \cdot 5 y \cdot 2} : \frac{5 x ^{3} \cdot 2 \cdot 3}{2 y ^{2} \cdot 5 \cdot 2}

= \frac{5 x ^{3} \cdot 2 \cdot 3}{2 y ^{2} \cdot 5 \cdot 2}

Cancel

\frac{5 x ^{3} \cdot 2 \cdot 3}{2 y ^{2} \cdot 5 \cdot 2} : \frac{x ^{3} \cdot 3}{2 y ^{2}}

= \frac{x ^{3} \cdot 3}{2 y ^{2}}

= \frac{3 x ^{3}}{2 y ^{2}}

\frac{5 ^{2} \cdot 6 + 42}{49 - 65}

2 \frac{1}{2} + 3 \frac{3}{4} + 4 \frac{1}{6} + 4 \frac{2}{3}

(\frac{1}{9})^{6} \cdot 8 1^{4}

lo g_{125} (625)

6 p^{- 4} t^{- 3} \cdot 2 p t^{4}

What is (5x}{2y}*(2x)/(5y)*\frac{3x)/2 ?
The solution to (5x}{2y}*(2x)/(5y)*\frac{3x)/2 is (3x^3)/(2y^2)