Simplify (ab^4c^7)/(a^3bc^5)

$\frac{a b^{4} c^{7}}{a^{3} b c^{5}}$

Step 1

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

Factor $a$ out of $a b^{4} c^{7}$ .

$\frac{a (b^{4} c^{7})}{a^{3} b c^{5}}$

Cancel the common factors.

Factor $a$ out of $a^{3} b c^{5}$ .

$\frac{a (b^{4} c^{7})}{a (a^{2} b c^{5})}$

Cancel the common factor.

$\frac{a (b^{4} c^{7})}{a (a^{2} b c^{5})}$

Rewrite the expression.

$\frac{b^{4} c^{7}}{a^{2} b c^{5}}$

$\frac{b^{4} c^{7}}{a^{2} b c^{5}}$

$\frac{b^{4} c^{7}}{a^{2} b c^{5}}$

Step 2

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

Factor $b$ out of $b^{4} c^{7}$ .

$\frac{b (b^{3} c^{7})}{a^{2} b c^{5}}$

Cancel the common factors.

Factor $b$ out of $a^{2} b c^{5}$ .

$\frac{b (b^{3} c^{7})}{b (a^{2} c^{5})}$

Cancel the common factor.

$\frac{b (b^{3} c^{7})}{b (a^{2} c^{5})}$

Rewrite the expression.

$\frac{b^{3} c^{7}}{a^{2} c^{5}}$

$\frac{b^{3} c^{7}}{a^{2} c^{5}}$

$\frac{b^{3} c^{7}}{a^{2} c^{5}}$

Step 3

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

Factor $c^{5}$ out of $b^{3} c^{7}$ .

$\frac{c^{5} (b^{3} c^{2})}{a^{2} c^{5}}$

Cancel the common factors.

Factor $c^{5}$ out of $a^{2} c^{5}$ .

$\frac{c^{5} (b^{3} c^{2})}{c^{5} a^{2}}$

Cancel the common factor.

$\frac{c^{5} (b^{3} c^{2})}{c^{5} a^{2}}$

Rewrite the expression.

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

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

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

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