Simplify (25m^7n^2p^3)/(5m^5n^8p)

$\frac{25 m^{7} n^{2} p^{3}}{5 m^{5} n^{8} p}$

Cancel the common factor of $25$ and $5$ .

Factor $5$ out of $25 m^{7} n^{2} p^{3}$ .

$\frac{5 (5 m^{7} n^{2} p^{3})}{5 m^{5} n^{8} p}$

Cancel the common factors.

Factor $5$ out of $5 m^{5} n^{8} p$ .

$\frac{5 (5 m^{7} n^{2} p^{3})}{5 (m^{5} n^{8} p)}$

Cancel the common factor.

$\frac{5 (5 m^{7} n^{2} p^{3})}{5 (m^{5} n^{8} p)}$

Rewrite the expression.

$\frac{5 m^{7} n^{2} p^{3}}{m^{5} n^{8} p}$

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

Factor $m^{5}$ out of $5 m^{7} n^{2} p^{3}$ .

$\frac{m^{5} (5 m^{2} n^{2} p^{3})}{m^{5} n^{8} p}$

Cancel the common factors.

Factor $m^{5}$ out of $m^{5} n^{8} p$ .

$\frac{m^{5} (5 m^{2} n^{2} p^{3})}{m^{5} (n^{8} p)}$

Cancel the common factor.

$\frac{m^{5} (5 m^{2} n^{2} p^{3})}{m^{5} (n^{8} p)}$

Rewrite the expression.

$\frac{5 m^{2} n^{2} p^{3}}{n^{8} p}$

Cancel the common factor of $n^{2}$ and $n^{8}$ .

Factor $n^{2}$ out of $5 m^{2} n^{2} p^{3}$ .

$\frac{n^{2} (5 m^{2} p^{3})}{n^{8} p}$

Cancel the common factors.

Factor $n^{2}$ out of $n^{8} p$ .

$\frac{n^{2} (5 m^{2} p^{3})}{n^{2} (n^{6} p)}$

Cancel the common factor.

$\frac{n^{2} (5 m^{2} p^{3})}{n^{2} (n^{6} p)}$

Rewrite the expression.

$\frac{5 m^{2} p^{3}}{n^{6} p}$

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

Factor $p$ out of $5 m^{2} p^{3}$ .

$\frac{p (5 m^{2} p^{2})}{n^{6} p}$

Cancel the common factors.

Factor $p$ out of $n^{6} p$ .

$\frac{p (5 m^{2} p^{2})}{p n^{6}}$

Cancel the common factor.

$\frac{p (5 m^{2} p^{2})}{p n^{6}}$

Rewrite the expression.

$\frac{5 m^{2} p^{2}}{n^{6}}$