Simplify (z^a*z^b)/(z^c)

$\frac{z^{a} \cdot z^{b}}{z^{c}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{z^{a + b}}{z^{c}}$

Cancel the common factor of $z^{a + b}$ and $z^{c}$ .

Factor $z^{c}$ out of $z^{a + b}$ .

$\frac{z^{c} z^{a + b - c}}{z^{c}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{z^{c} z^{a + b - c}}{z^{c} \cdot 1}$

Cancel the common factor.

$\frac{z^{c} z^{a + b - c}}{z^{c} \cdot 1}$

Rewrite the expression.

$\frac{z^{a + b - c}}{1}$

Divide $z^{a + b - c}$ by $1$ .

$z^{a + b - c}$