Simplify (a^8b^2c^0)/(a^5b^5)

$\frac{a^{8} b^{2} c^{0}}{a^{5} b^{5}}$

Cancel the common factor of $a^{8}$ and $a^{5}$ .

Factor $a^{5}$ out of $a^{8} b^{2} c^{0}$ .

$\frac{a^{5} (a^{3} b^{2} c^{0})}{a^{5} b^{5}}$

Cancel the common factors.

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

$\frac{a^{5} (a^{3} b^{2} c^{0})}{a^{5} (b^{5})}$

Cancel the common factor.

$\frac{a^{5} (a^{3} b^{2} c^{0})}{a^{5} b^{5}}$

Rewrite the expression.

$\frac{a^{3} b^{2} c^{0}}{b^{5}}$

$\frac{a^{3} b^{2} c^{0}}{b^{5}}$

$\frac{a^{3} b^{2} c^{0}}{b^{5}}$

Cancel the common factor of $b^{2}$ and $b^{5}$ .

Factor $b^{2}$ out of $a^{3} b^{2} c^{0}$ .

$\frac{b^{2} (a^{3} c^{0})}{b^{5}}$

Cancel the common factors.

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

$\frac{b^{2} (a^{3} c^{0})}{b^{2} b^{3}}$

Cancel the common factor.

$\frac{b^{2} (a^{3} c^{0})}{b^{2} b^{3}}$

Rewrite the expression.

$\frac{a^{3} c^{0}}{b^{3}}$

$\frac{a^{3} c^{0}}{b^{3}}$

$\frac{a^{3} c^{0}}{b^{3}}$

Simplify the expression.

Anything raised to $0$ is $1$ .

$\frac{a^{3} \cdot 1}{b^{3}}$

Multiply $a^{3}$ by $1$ .

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

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

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