Simplify (y^5z^10)/(yz^7)

$\frac{y^{5} \cdot z^{10}}{y \cdot z^{7}}$

Step 1

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

Factor $y$ out of $y^{5} \cdot z^{10}$ .

$\frac{y (y^{4} \cdot z^{10})}{y \cdot z^{7}}$

Cancel the common factors.

Factor $y$ out of $y \cdot z^{7}$ .

$\frac{y (y^{4} \cdot z^{10})}{y (z^{7})}$

Cancel the common factor.

$\frac{y (y^{4} \cdot z^{10})}{y z^{7}}$

Rewrite the expression.

$\frac{y^{4} \cdot z^{10}}{z^{7}}$

$\frac{y^{4} \cdot z^{10}}{z^{7}}$

$\frac{y^{4} \cdot z^{10}}{z^{7}}$

Step 2

Cancel the common factor of $z^{10}$ and $z^{7}$ .

Factor $z^{7}$ out of $y^{4} \cdot z^{10}$ .

$\frac{z^{7} (y^{4} \cdot z^{3})}{z^{7}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{z^{7} (y^{4} \cdot z^{3})}{z^{7} \cdot 1}$

Cancel the common factor.

$\frac{z^{7} (y^{4} \cdot z^{3})}{z^{7} \cdot 1}$

Rewrite the expression.

$\frac{y^{4} \cdot z^{3}}{1}$

Divide $y^{4} \cdot z^{3}$ by $1$ .

$y^{4} \cdot z^{3}$

$y^{4} \cdot z^{3}$

$y^{4} z^{3}$

Related Questions