## Algebra 1

$z^5$
We start with the given expression: $(z^8)^0z^5$ The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$: $1\times z^5$ The identity property of multiplication states that the product of any real number and $1$ is the original number. We use this rule to simplify: $z^5$