Simplify ((9x^5y^6)(4xy))/(6x^2y^4)

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

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

Move $x$ .

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

Multiply $x$ by $x^{5}$ .

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

$\frac{9 (x^{1} x^{5}) y^{6} (4 y)}{6 x^{2} y^{4}}$

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

$\frac{9 x^{1 + 5} y^{6} (4 y)}{6 x^{2} y^{4}}$

Add $1$ and $5$ .

$\frac{9 x^{6} y^{6} (4 y)}{6 x^{2} y^{4}}$

Multiply $y^{6}$ by $y$ by adding the exponents.

Move $y$ .

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

Multiply $y$ by $y^{6}$ .

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

$\frac{9 x^{6} (y^{1} y^{6}) \cdot 4}{6 x^{2} y^{4}}$

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

$\frac{9 x^{6} y^{1 + 6} \cdot 4}{6 x^{2} y^{4}}$

Add $1$ and $6$ .

$\frac{9 x^{6} y^{7} \cdot 4}{6 x^{2} y^{4}}$

Cancel the common factor of $9$ and $6$ .

Factor $3$ out of $9 x^{6} y^{7} \cdot 4$ .

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

Cancel the common factors.

Factor $3$ out of $6 x^{2} y^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $x^{6}$ and $x^{2}$ .

Factor $x^{2}$ out of $3 x^{6} y^{7} \cdot 4$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3 x^{4} y^{7} \cdot 4}{2 y^{4}}$

Cancel the common factor of $y^{7}$ and $y^{4}$ .

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

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

Cancel the common factors.

Factor $y^{4}$ out of $2 y^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $3 x^{4} y^{3} \cdot 4$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (3 x^{4} y^{3} \cdot 2)}{2 (1)}$

Cancel the common factor.

$\frac{2 (3 x^{4} y^{3} \cdot 2)}{2 \cdot 1}$

Rewrite the expression.

$\frac{3 x^{4} y^{3} \cdot 2}{1}$

Divide $3 x^{4} y^{3} \cdot 2$ by $1$ .

$3 x^{4} y^{3} \cdot 2$

Multiply $2$ by $3$ .

$6 x^{4} y^{3}$

Simplify ((9x^5y^6)(4xy))/(6x^2y^4)

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