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

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

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

simplify

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

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

Solution steps

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

Cancel

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

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

Apply the fraction rule:

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

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

Apply exponent rule:

aa = a^{2}

xx = x^{2}

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

Cancel

\frac{4 y ^{2} y}{x ^{2} \cdot 8} : \frac{y ^{2} y}{x ^{2} \cdot 2}

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

Simplify

y^{2} y : y^{3}

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

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

7 x^{2} - 26 x - 8 = 0

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x y + x^{3} y^{5}

(3 + 5 i) + (10 + 7 i)

- 5 x - 3 > 2 (3 - x)

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