Simplify (14k^9m^3)/(2(km^3))

$\frac{14 k^{9} m^{3}}{2 (k m^{3})}$

Step 1

Cancel the common factor of $14$ and $2$ .

Factor $2$ out of $14 k^{9} m^{3}$ .

$\frac{2 (7 k^{9} m^{3})}{2 (k m^{3})}$

Cancel the common factors.

Cancel the common factor.

$\frac{2 (7 k^{9} m^{3})}{2 (k m^{3})}$

Rewrite the expression.

$\frac{7 k^{9} m^{3}}{k m^{3}}$

$\frac{7 k^{9} m^{3}}{k m^{3}}$

$\frac{7 k^{9} m^{3}}{k m^{3}}$

Step 2

Cancel the common factor of $k^{9}$ and $k$ .

Factor $k$ out of $7 k^{9} m^{3}$ .

$\frac{k (7 k^{8} m^{3})}{k m^{3}}$

Cancel the common factors.

Factor $k$ out of $k m^{3}$ .

$\frac{k (7 k^{8} m^{3})}{k (m^{3})}$

Cancel the common factor.

$\frac{k (7 k^{8} m^{3})}{k m^{3}}$

Rewrite the expression.

$\frac{7 k^{8} m^{3}}{m^{3}}$

$\frac{7 k^{8} m^{3}}{m^{3}}$

$\frac{7 k^{8} m^{3}}{m^{3}}$

Step 3

Cancel the common factor of $m^{3}$ .

Cancel the common factor.

$\frac{7 k^{8} m^{3}}{m^{3}}$

Divide $7 k^{8}$ by $1$ .

$7 k^{8}$

$7 k^{8}$

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