Simplify (4p^7)/(2p^3*p^2)

$\frac{4 p^{7}}{2 p^{3} \cdot p^{2}}$

Step 1

Multiply $p^{3}$ by $p^{2}$ by adding the exponents.

Move $p^{2}$ .

$\frac{4 p^{7}}{2 (p^{2} p^{3})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{4 p^{7}}{2 p^{2 + 3}}$

Add $2$ and $3$ .

$\frac{4 p^{7}}{2 p^{5}}$

Step 2

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 p^{7}$ .

$\frac{2 (2 p^{7})}{2 p^{5}}$

Cancel the common factors.

Factor $2$ out of $2 p^{5}$ .

$\frac{2 (2 p^{7})}{2 (p^{5})}$

Cancel the common factor.

$\frac{2 (2 p^{7})}{2 p^{5}}$

Rewrite the expression.

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

Step 3

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

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

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

Cancel the common factors.

Multiply by $1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

$2 p^{2}$