What is (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2) ?

The solution to (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2) is (8x^4)/(y^2)

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simplify (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)

simplify

\frac{48 x ^{5} y ^{3}}{y ^{4}} \cdot \frac{x ^{2} y}{6 x ^{3} y ^{2}}

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

Solution steps

\frac{48 x ^{5} y ^{3}}{y ^{4}} \cdot \frac{x ^{2} y}{6 x ^{3} y ^{2}}

Cancel

\frac{48 x ^{5} y ^{3}}{y ^{4}} : \frac{48 x ^{5}}{y}

= \frac{48 x ^{5}}{y} \cdot \frac{x ^{2} y}{6 x ^{3} y ^{2}}

Cancel

\frac{x ^{2} y}{6 x ^{3} y ^{2}} : \frac{1}{6 x y}

= \frac{48 x ^{5}}{y} \cdot \frac{1}{6 x y}

Apply the fraction rule:

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

= \frac{48 x ^{5} \cdot 1}{y \cdot 6 x y}

Simplify

\frac{48 x ^{5} \cdot 1}{y \cdot 6 x y} : \frac{48 x ^{5}}{y ^{2} \cdot 6 x}

= \frac{48 x ^{5}}{y ^{2} \cdot 6 x}

Factor the number:

48 = 6 \cdot 8

= \frac{6 \cdot 8 x ^{5}}{y ^{2} \cdot 6 x}

Cancel the common factor:

6

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

Simplify

\frac{x ^{5}}{x} : x^{4}

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

\frac{2 ^{3}}{3} - \frac{1 ^{3}}{3}

2 y^{2} + 7 y + 6

2 \cdot 14

12 x^{2} - 54 x y

- 1

What is (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2) ?
The solution to (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2) is (8x^4)/(y^2)