Find the Product (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)

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

Combine.

$\frac{48 x^{5} y^{3} (x^{2} y)}{y^{4} (6 x^{3} y^{2})}$

Multiply $x^{5}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{48 (x^{2} x^{5}) y^{3} y}{y^{4} (6 x^{3} y^{2})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{48 x^{2 + 5} y^{3} y}{y^{4} (6 x^{3} y^{2})}$

Add $2$ and $5$ .

$\frac{48 x^{7} y^{3} y}{y^{4} (6 x^{3} y^{2})}$

Multiply $y^{3}$ by $y$ by adding the exponents.

Move $y$ .

$\frac{48 x^{7} (y \cdot y^{3})}{y^{4} (6 x^{3} y^{2})}$

Multiply $y$ by $y^{3}$ .

Raise $y$ to the power of $1$ .

$\frac{48 x^{7} (y^{1} y^{3})}{y^{4} (6 x^{3} y^{2})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{48 x^{7} y^{1 + 3}}{y^{4} (6 x^{3} y^{2})}$

Add $1$ and $3$ .

$\frac{48 x^{7} y^{4}}{y^{4} (6 x^{3} y^{2})}$

Multiply $y^{4}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$\frac{48 x^{7} y^{4}}{y^{2} y^{4} (6 x^{3})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{48 x^{7} y^{4}}{y^{2 + 4} (6 x^{3})}$

Add $2$ and $4$ .

$\frac{48 x^{7} y^{4}}{y^{6} (6 x^{3})}$

Cancel the common factor of $48$ and $6$ .

Factor $6$ out of $48 x^{7} y^{4}$ .

$\frac{6 (8 x^{7} y^{4})}{y^{6} (6 x^{3})}$

Cancel the common factors.

Factor $6$ out of $y^{6} (6 x^{3})$ .

$\frac{6 (8 x^{7} y^{4})}{6 (y^{6} (x^{3}))}$

Cancel the common factor.

$\frac{6 (8 x^{7} y^{4})}{6 (y^{6} (x^{3}))}$

Rewrite the expression.

$\frac{8 x^{7} y^{4}}{y^{6} (x^{3})}$

Cancel the common factor of $x^{7}$ and $x^{3}$ .

Factor $x^{3}$ out of $8 x^{7} y^{4}$ .

$\frac{x^{3} (8 x^{4} y^{4})}{y^{6} (x^{3})}$

Cancel the common factors.

Factor $x^{3}$ out of $y^{6} (x^{3})$ .

$\frac{x^{3} (8 x^{4} y^{4})}{x^{3} y^{6}}$

Cancel the common factor.

$\frac{x^{3} (8 x^{4} y^{4})}{x^{3} y^{6}}$

Rewrite the expression.

$\frac{8 x^{4} y^{4}}{y^{6}}$

Cancel the common factor of $y^{4}$ and $y^{6}$ .

Factor $y^{4}$ out of $8 x^{4} y^{4}$ .

$\frac{y^{4} (8 x^{4})}{y^{6}}$

Cancel the common factors.

Factor $y^{4}$ out of $y^{6}$ .

$\frac{y^{4} (8 x^{4})}{y^{4} y^{2}}$

Cancel the common factor.

$\frac{y^{4} (8 x^{4})}{y^{4} y^{2}}$

Rewrite the expression.

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

Find the Product (48x^5y^3)/(y^4)*(x^2y)/(6x^3y^2)

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