Simplify ((4x^3y^2)(3x^6y^3))/(24x^11y^2)

$\frac{(4 x^{3} y^{2}) (3 x^{6} y^{3})}{24 x^{11} y^{2}}$

Multiply $x^{3}$ by $x^{6}$ by adding the exponents.

Move $x^{6}$ .

$\frac{4 (x^{6} x^{3}) y^{2} (3 y^{3})}{24 x^{11} y^{2}}$

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

$\frac{4 x^{6 + 3} y^{2} (3 y^{3})}{24 x^{11} y^{2}}$

Add $6$ and $3$ .

$\frac{4 x^{9} y^{2} (3 y^{3})}{24 x^{11} y^{2}}$

Multiply $y^{2}$ by $y^{3}$ by adding the exponents.

Move $y^{3}$ .

$\frac{4 x^{9} (y^{3} y^{2}) \cdot 3}{24 x^{11} y^{2}}$

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

$\frac{4 x^{9} y^{3 + 2} \cdot 3}{24 x^{11} y^{2}}$

Add $3$ and $2$ .

$\frac{4 x^{9} y^{5} \cdot 3}{24 x^{11} y^{2}}$

Cancel the common factor of $4$ and $24$ .

Factor $4$ out of $4 x^{9} y^{5} \cdot 3$ .

$\frac{4 (x^{9} y^{5} \cdot 3)}{24 x^{11} y^{2}}$

Cancel the common factors.

Factor $4$ out of $24 x^{11} y^{2}$ .

$\frac{4 (x^{9} y^{5} \cdot 3)}{4 (6 x^{11} y^{2})}$

Cancel the common factor.

$\frac{4 (x^{9} y^{5} \cdot 3)}{4 (6 x^{11} y^{2})}$

Rewrite the expression.

$\frac{x^{9} y^{5} \cdot 3}{6 x^{11} y^{2}}$

Cancel the common factor of $x^{9}$ and $x^{11}$ .

Factor $x^{9}$ out of $x^{9} y^{5} \cdot 3$ .

$\frac{x^{9} (y^{5} \cdot 3)}{6 x^{11} y^{2}}$

Cancel the common factors.

Factor $x^{9}$ out of $6 x^{11} y^{2}$ .

$\frac{x^{9} (y^{5} \cdot 3)}{x^{9} (6 x^{2} y^{2})}$

Cancel the common factor.

$\frac{x^{9} (y^{5} \cdot 3)}{x^{9} (6 x^{2} y^{2})}$

Rewrite the expression.

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

Cancel the common factor of $y^{5}$ and $y^{2}$ .

Factor $y^{2}$ out of $y^{5} \cdot 3$ .

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

Cancel the common factors.

Factor $y^{2}$ out of $6 x^{2} y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $y^{3} \cdot 3$ .

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

Cancel the common factors.

Factor $3$ out of $6 x^{2}$ .

$\frac{3 \cdot y^{3}}{3 (2 x^{2})}$

Cancel the common factor.

$\frac{3 \cdot y^{3}}{3 (2 x^{2})}$

Rewrite the expression.

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

Simplify ((4x^3y^2)(3x^6y^3))/(24x^11y^2)

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