Simplify (a^6b^4c^10)/(a^3b^2c)

$\frac{a^{6} b^{4} c^{10}}{a^{3} b^{2} c}$

Cancel the common factor of $a^{6}$ and $a^{3}$ .

Factor $a^{3}$ out of $a^{6} b^{4} c^{10}$ .

$\frac{a^{3} (a^{3} b^{4} c^{10})}{a^{3} b^{2} c}$

Cancel the common factors.

Factor $a^{3}$ out of $a^{3} b^{2} c$ .

$\frac{a^{3} (a^{3} b^{4} c^{10})}{a^{3} (b^{2} c)}$

Cancel the common factor.

$\frac{a^{3} (a^{3} b^{4} c^{10})}{a^{3} (b^{2} c)}$

Rewrite the expression.

$\frac{a^{3} b^{4} c^{10}}{b^{2} c}$

Cancel the common factor of $b^{4}$ and $b^{2}$ .

Factor $b^{2}$ out of $a^{3} b^{4} c^{10}$ .

$\frac{b^{2} (a^{3} b^{2} c^{10})}{b^{2} c}$

Cancel the common factors.

Factor $b^{2}$ out of $b^{2} c$ .

$\frac{b^{2} (a^{3} b^{2} c^{10})}{b^{2} (c)}$

Cancel the common factor.

$\frac{b^{2} (a^{3} b^{2} c^{10})}{b^{2} c}$

Rewrite the expression.

$\frac{a^{3} b^{2} c^{10}}{c}$

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

Factor $c$ out of $a^{3} b^{2} c^{10}$ .

$\frac{c (a^{3} b^{2} c^{9})}{c}$

Cancel the common factors.

Raise $c$ to the power of $1$ .

$\frac{c (a^{3} b^{2} c^{9})}{c^{1}}$

Factor $c$ out of $c^{1}$ .

$\frac{c (a^{3} b^{2} c^{9})}{c \cdot 1}$

Cancel the common factor.

$\frac{c (a^{3} b^{2} c^{9})}{c \cdot 1}$

Rewrite the expression.

$\frac{a^{3} b^{2} c^{9}}{1}$

Divide $a^{3} b^{2} c^{9}$ by $1$ .

$a^{3} b^{2} c^{9}$