Divide (8y^7)÷4y^5

$8 y^{7} \div 4 y^{5}$

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 y^{7}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 y^{7}}{y^{5}}$

$\frac{2 y^{7}}{y^{5}}$

$\frac{2 y^{7}}{y^{5}}$

Step 3

Cancel the common factor of $y^{7}$ and $y^{5}$ .

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

$\frac{y^{5} (2 y^{2})}{y^{5}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{5} (2 y^{2})}{y^{5} \cdot 1}$

Cancel the common factor.

$\frac{y^{5} (2 y^{2})}{y^{5} \cdot 1}$

Rewrite the expression.

$\frac{2 y^{2}}{1}$

Divide $2 y^{2}$ by $1$ .

$2 y^{2}$

$2 y^{2}$

$2 y^{2}$

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