What is (32x^3y)/(5xy^2)*(15y)/(8x^2y^4) ?

The solution to (32x^3y)/(5xy^2)*(15y)/(8x^2y^4) is (12)/(y^4)

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simplify (32x^3y)/(5xy^2)*(15y)/(8x^2y^4)

simplify

\frac{32 x ^{3} y}{5 x y ^{2}} \cdot \frac{15 y}{8 x ^{2} y ^{4}}

\frac{12}{y ^{4}}

Solution steps

\frac{32 x ^{3} y}{5 x y ^{2}} \cdot \frac{15 y}{8 x ^{2} y ^{4}}

Cancel

\frac{32 x ^{3} y}{5 x y ^{2}} : \frac{32 x ^{2}}{5 y}

= \frac{32 x ^{2}}{5 y} \cdot \frac{15 y}{8 x ^{2} y ^{4}}

Cancel

\frac{15 y}{8 x ^{2} y ^{4}} : \frac{15}{8 x ^{2} y ^{3}}

= \frac{32 x ^{2}}{5 y} \cdot \frac{15}{8 x ^{2} y ^{3}}

Apply the fraction rule:

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

= \frac{32 x ^{2} \cdot 15}{5 y \cdot 8 x ^{2} y ^{3}}

Cancel the common factor:

x^{2}

= \frac{32 \cdot 15}{5 y \cdot 8 y ^{3}}

Factor the number:

32 = 8 \cdot 4

= \frac{8 \cdot 4 \cdot 15}{5 y \cdot 8 y ^{3}}

Cancel the common factor:

8

= \frac{4 \cdot 15}{5 y y ^{3}}

Factor the number:

15 = 5 \cdot 3

= \frac{4 \cdot 5 \cdot 3}{5 y y ^{3}}

Cancel the common factor:

5

= \frac{4 \cdot 3}{y y ^{3}}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{12}{y y ^{3}}

Simplify

y y^{3} : y^{4}

= \frac{12}{y ^{4}}

1014

\frac{x + 8}{x - 7} \leq 1

\frac{8 y}{3} - \frac{2 y}{4} < - 13

(\frac{1}{2})^{0}

x^{2} - 8 x + 16 = 1

What is (32x^3y)/(5xy^2)*(15y)/(8x^2y^4) ?
The solution to (32x^3y)/(5xy^2)*(15y)/(8x^2y^4) is (12)/(y^4)