Simplify (x^8y^12)/(x^4y^3z^2)

$\frac{x^{8} y^{12}}{x^{4} y^{3} z^{2}}$

Step 1

Cancel the common factor of $x^{8}$ and $x^{4}$ .

Factor $x^{4}$ out of $x^{8} y^{12}$ .

$\frac{x^{4} (x^{4} y^{12})}{x^{4} y^{3} z^{2}}$

Cancel the common factors.

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

$\frac{x^{4} (x^{4} y^{12})}{x^{4} (y^{3} z^{2})}$

Cancel the common factor.

$\frac{x^{4} (x^{4} y^{12})}{x^{4} (y^{3} z^{2})}$

Rewrite the expression.

$\frac{x^{4} y^{12}}{y^{3} z^{2}}$

Step 2

Cancel the common factor of $y^{12}$ and $y^{3}$ .

Factor $y^{3}$ out of $x^{4} y^{12}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{x^{4} y^{9}}{z^{2}}$