Question

simplify. express your answer using positive exponents. \\(\frac{z^{5}}{z^{0}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing two terms with the same base, we subtract the exponents: $\frac{a^m}{a^n} = a^{m - n}$, and also recall that $a^0 = 1$ for $a
eq0$. Here, the base is $z$, $m = 5$, and $n = 0$.
$\frac{z^5}{z^0}=z^{5 - 0}$

Step2: Simplify the exponent

Subtract the exponents: $5-0 = 5$. So we have $z^5$.

Answer:

$z^5$