Simplify (14x^5y^3*3x^4y^9)/(6x^3y^4)

$\frac{14 x^{5} y^{3} \cdot 3 x^{4} y^{9}}{6 x^{3} y^{4}}$

Multiply $x^{5}$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$\frac{14 (x^{4} x^{5}) y^{3} \cdot (3 y^{9})}{6 x^{3} y^{4}}$

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

$\frac{14 x^{4 + 5} y^{3} \cdot (3 y^{9})}{6 x^{3} y^{4}}$

Add $4$ and $5$ .

$\frac{14 x^{9} y^{3} \cdot (3 y^{9})}{6 x^{3} y^{4}}$

Multiply $y^{3}$ by $y^{9}$ by adding the exponents.

Move $y^{9}$ .

$\frac{14 x^{9} (y^{9} y^{3}) \cdot 3}{6 x^{3} y^{4}}$

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

$\frac{14 x^{9} y^{9 + 3} \cdot 3}{6 x^{3} y^{4}}$

Add $9$ and $3$ .

$\frac{14 x^{9} y^{12} \cdot 3}{6 x^{3} y^{4}}$

Cancel the common factor of $14$ and $6$ .

Factor $2$ out of $14 x^{9} y^{12} \cdot 3$ .

$\frac{2 (7 x^{9} y^{12} \cdot 3)}{6 x^{3} y^{4}}$

Cancel the common factors.

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

$\frac{2 (7 x^{9} y^{12} \cdot 3)}{2 (3 x^{3} y^{4})}$

Cancel the common factor.

$\frac{2 (7 x^{9} y^{12} \cdot 3)}{2 (3 x^{3} y^{4})}$

Rewrite the expression.

$\frac{7 x^{9} y^{12} \cdot 3}{3 x^{3} y^{4}}$

Cancel the common factor of $x^{9}$ and $x^{3}$ .

Factor $x^{3}$ out of $7 x^{9} y^{12} \cdot 3$ .

$\frac{x^{3} (7 x^{6} y^{12} \cdot 3)}{3 x^{3} y^{4}}$

Cancel the common factors.

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

$\frac{x^{3} (7 x^{6} y^{12} \cdot 3)}{x^{3} (3 y^{4})}$

Cancel the common factor.

$\frac{x^{3} (7 x^{6} y^{12} \cdot 3)}{x^{3} (3 y^{4})}$

Rewrite the expression.

$\frac{7 x^{6} y^{12} \cdot 3}{3 y^{4}}$

Cancel the common factor of $y^{12}$ and $y^{4}$ .

Factor $y^{4}$ out of $7 x^{6} y^{12} \cdot 3$ .

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

Cancel the common factors.

Factor $y^{4}$ out of $3 y^{4}$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{7 x^{6} y^{8} \cdot 3}{3}$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{7 x^{6} y^{8} \cdot 3}{3}$

Divide $7 x^{6} y^{8}$ by $1$ .

$7 x^{6} y^{8}$

Simplify (14x^5y^3*3x^4y^9)/(6x^3y^4)

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