What is (x^2y)/(4xy)*x/6*(3y^5)/(x^4) ?

The solution to (x^2y)/(4xy)*x/6*(3y^5)/(x^4) is (y^5)/(8x^2)

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simplify (x^2y)/(4xy)x/6(3y^5)/(x^4)

simplify

\frac{x ^{2} y}{4 x y} \cdot \frac{x}{6} \cdot \frac{3 y ^{5}}{x ^{4}}

\frac{y ^{5}}{8 x ^{2}}

Solution steps

\frac{x ^{2} y}{4 x y} \cdot \frac{x}{6} \cdot \frac{3 y ^{5}}{x ^{4}}

Cancel

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

= \frac{x}{4} \cdot \frac{x}{6} \cdot \frac{3 y ^{5}}{x ^{4}}

Apply the fraction rule:

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

= \frac{xx \cdot 3 y ^{5}}{4 \cdot 6 x ^{4}}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{x ^{2} \cdot 3 y ^{5}}{4 \cdot 6 x ^{4}}

Factor the number:

6 = 3 \cdot 2

= \frac{x ^{2} \cdot 3 y ^{5}}{4 \cdot 3 \cdot 2 x ^{4}}

Cancel the common factor:

3

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

Simplify

\frac{x ^{2}}{x ^{4}} : \frac{1}{x ^{2}}

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

Multiply the numbers:

4 \cdot 2 = 8

= \frac{y ^{5}}{8 x ^{2}}

z = \frac{- 1}{2} + \frac{1}{2} i

(x - 2) (x - 3) = 2

\frac{( x ^{2} - 2 x + 3 )}{x - 1}

(x - 2)^{2} < x (x - 4) + 8

10 p^{2} = - 8 p + 1

What is (x^2y)/(4xy)*x/6*(3y^5)/(x^4) ?
The solution to (x^2y)/(4xy)*x/6*(3y^5)/(x^4) is (y^5)/(8x^2)