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

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

Step 1

Cancel the common factor of $2$ and $8$ .

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

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

Cancel the common factors.

Factor $2$ out of $8 x y^{2} z^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

Cancel the common factor of $y^{3}$ and $y^{2}$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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