What is (6x^3y)/(xy^2)*(3x^2y)/(8x^3) ?

The solution to (6x^3y)/(xy^2)*(3x^2y)/(8x^3) is (9x)/4

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simplify (6x^3y)/(xy^2)*(3x^2y)/(8x^3)

simplify

\frac{6 x ^{3} y}{x y ^{2}} \cdot \frac{3 x ^{2} y}{8 x ^{3}}

\frac{9 x}{4}

Solution steps

\frac{6 x ^{3} y}{x y ^{2}} \cdot \frac{3 x ^{2} y}{8 x ^{3}}

Cancel

\frac{6 x ^{3} y}{x y ^{2}} : \frac{6 x ^{2}}{y}

= \frac{6 x ^{2}}{y} \cdot \frac{3 x ^{2} y}{8 x ^{3}}

Cancel

\frac{3 x ^{2} y}{8 x ^{3}} : \frac{3 y}{8 x}

= \frac{6 x ^{2}}{y} \cdot \frac{3 y}{8 x}

Apply the fraction rule:

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

= \frac{6 x ^{2} \cdot 3 y}{y \cdot 8 x}

Cancel the common factor:

y

= \frac{6 x ^{2} \cdot 3}{8 x}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 x ^{2} \cdot 3}{8 x}

Factor the number:

8 = 2 \cdot 4

= \frac{2 \cdot 3 x ^{2} \cdot 3}{2 \cdot 4 x}

Cancel the common factor:

2

= \frac{3 x ^{2} \cdot 3}{4 x}

Simplify

\frac{x ^{2}}{x} : x

= \frac{3 x \cdot 3}{4}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{9 x}{4}

∣ 4 t - 3 ∣ = ∣ 3 - 4 t ∣

2 (6 z + 2) = 28

x^{2} - 6 x = - 8

x^{2} + 10 x + 25 = 16

\frac{8 - 2 i}{- 4 + i}

What is (6x^3y)/(xy^2)*(3x^2y)/(8x^3) ?
The solution to (6x^3y)/(xy^2)*(3x^2y)/(8x^3) is (9x)/4