The problem asks to simplify the expression $\frac{z^8}{z^2}$ and write the answer in exponential form.

AlgebraExponentsSimplificationAlgebraic Expressions
2025/7/3

1. Problem Description

The problem asks to simplify the expression z8z2\frac{z^8}{z^2} and write the answer in exponential form.

2. Solution Steps

To simplify the expression z8z2\frac{z^8}{z^2}, we use the quotient of powers rule, which states that when dividing powers with the same base, we subtract the exponents.
Quotient of Powers Rule:
aman=amn\frac{a^m}{a^n} = a^{m-n}
Applying the quotient of powers rule to the given expression:
z8z2=z82=z6\frac{z^8}{z^2} = z^{8-2} = z^6

3. Final Answer

z6z^6