Question

simplify. express your answer using positive exponents.
\\(\frac{z^{8}}{z^{5}}\\)

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $\frac{z^m}{z^n}=z^{m-n}$
$\frac{z^8}{z^5}=z^{8-5}$

Step2: Calculate exponent difference

Compute the subtraction of exponents
$z^{8-5}=z^3$

Answer:

$z^3$