Simplify 3/(10xy^4z)*(5yz^4)/3

$\frac{3}{10 x y^{4} z} \cdot \frac{5 y z^{4}}{3}$

Step 1

Combine.

$\frac{3 (5 y z^{4})}{10 x y^{4} z \cdot 3}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 (5 y z^{4})}{10 x y^{4} z \cdot 3}$

Rewrite the expression.

$\frac{5 y z^{4}}{10 x y^{4} z}$

$\frac{5 y z^{4}}{10 x y^{4} z}$

Step 3

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5 y z^{4}$ .

$\frac{5 (y z^{4})}{10 x y^{4} z}$

Cancel the common factors.

Factor $5$ out of $10 x y^{4} z$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 5

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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