Simplify (5x^5y^6)/(x^2y^3)

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

Step 1

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

Factor $x^{2}$ out of $5 x^{5} y^{6}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $y^{6}$ and $y^{3}$ .

Factor $y^{3}$ out of $5 x^{3} y^{6}$ .

$\frac{y^{3} (5 x^{3} y^{3})}{y^{3}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{3} (5 x^{3} y^{3})}{y^{3} \cdot 1}$

Cancel the common factor.

$\frac{y^{3} (5 x^{3} y^{3})}{y^{3} \cdot 1}$

Rewrite the expression.

$\frac{5 x^{3} y^{3}}{1}$

Divide $5 x^{3} y^{3}$ by $1$ .

$5 x^{3} y^{3}$

$5 x^{3} y^{3}$

$5 x^{3} y^{3}$

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