Simplify (12x^9y^9)/(15x^7y*5x^4y^2)

$\frac{12 x^{9} y^{9}}{15 x^{7} y \cdot 5 x^{4} y^{2}}$

Multiply $x^{7}$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$\frac{12 x^{9} y^{9}}{15 (x^{4} x^{7}) y \cdot (5 y^{2})}$

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

$\frac{12 x^{9} y^{9}}{15 x^{4 + 7} y \cdot (5 y^{2})}$

Add $4$ and $7$ .

$\frac{12 x^{9} y^{9}}{15 x^{11} y \cdot (5 y^{2})}$

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

Move $y^{2}$ .

$\frac{12 x^{9} y^{9}}{15 x^{11} (y^{2} y) \cdot 5}$

Multiply $y^{2}$ by $y$ .

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

$\frac{12 x^{9} y^{9}}{15 x^{11} (y^{2} y^{1}) \cdot 5}$

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

$\frac{12 x^{9} y^{9}}{15 x^{11} y^{2 + 1} \cdot 5}$

Add $2$ and $1$ .

$\frac{12 x^{9} y^{9}}{15 x^{11} y^{3} \cdot 5}$

Cancel the common factor of $12$ and $15$ .

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

$\frac{3 (4 x^{9} y^{9})}{15 x^{11} y^{3} \cdot 5}$

Cancel the common factors.

Factor $3$ out of $15 x^{11} y^{3} \cdot 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Factor $x^{9}$ out of $4 x^{9} y^{9}$ .

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

Cancel the common factors.

Factor $x^{9}$ out of $5 x^{11} y^{3} \cdot 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Factor $y^{3}$ out of $4 y^{9}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $5$ by $5$ .

$\frac{4 y^{6}}{25 x^{2}}$

Simplify (12x^9y^9)/(15x^7y*5x^4y^2)

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