Simplify (32x^4y^3z^4)÷(28x^9y^2z)

$32 x^{4} y^{3} z^{4} \div (28 x^{9} y^{2} z)$

Step 1

Rewrite the division as a fraction.

$\frac{32 x^{4} y^{3} z^{4}}{28 x^{9} y^{2} z}$

Step 2

Cancel the common factor of $32$ and $28$ .

Factor $4$ out of $32 x^{4} y^{3} z^{4}$ .

$\frac{4 (8 x^{4} y^{3} z^{4})}{28 x^{9} y^{2} z}$

Cancel the common factors.

Factor $4$ out of $28 x^{9} y^{2} z$ .

$\frac{4 (8 x^{4} y^{3} z^{4})}{4 (7 x^{9} y^{2} z)}$

Cancel the common factor.

$\frac{4 (8 x^{4} y^{3} z^{4})}{4 (7 x^{9} y^{2} z)}$

Rewrite the expression.

$\frac{8 x^{4} y^{3} z^{4}}{7 x^{9} y^{2} z}$

Step 3

Cancel the common factor of $x^{4}$ and $x^{9}$ .

Factor $x^{4}$ out of $8 x^{4} y^{3} z^{4}$ .

$\frac{x^{4} (8 y^{3} z^{4})}{7 x^{9} y^{2} z}$

Cancel the common factors.

Factor $x^{4}$ out of $7 x^{9} y^{2} z$ .

$\frac{x^{4} (8 y^{3} z^{4})}{x^{4} (7 x^{5} y^{2} z)}$

Cancel the common factor.

$\frac{x^{4} (8 y^{3} z^{4})}{x^{4} (7 x^{5} y^{2} z)}$

Rewrite the expression.

$\frac{8 y^{3} z^{4}}{7 x^{5} y^{2} z}$

Step 4

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

Factor $y^{2}$ out of $8 y^{3} z^{4}$ .

$\frac{y^{2} (8 y z^{4})}{7 x^{5} y^{2} z}$

Cancel the common factors.

Factor $y^{2}$ out of $7 x^{5} y^{2} z$ .

$\frac{y^{2} (8 y z^{4})}{y^{2} (7 x^{5} z)}$

Cancel the common factor.

$\frac{y^{2} (8 y z^{4})}{y^{2} (7 x^{5} z)}$

Rewrite the expression.

$\frac{8 y z^{4}}{7 x^{5} z}$

Step 5

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

Factor $z$ out of $8 y z^{4}$ .

$\frac{z (8 y z^{3})}{7 x^{5} z}$

Cancel the common factors.

Factor $z$ out of $7 x^{5} z$ .

$\frac{z (8 y z^{3})}{z (7 x^{5})}$

Cancel the common factor.

$\frac{z (8 y z^{3})}{z (7 x^{5})}$

Rewrite the expression.

$\frac{8 y z^{3}}{7 x^{5}}$

Simplify (32x^4y^3z^4)÷(28x^9y^2z)

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