Answer
$b^3$
Work Step by Step
We start with the given expression: $a^0b^3$
The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$
We use this to rewrite the expression as $1b^3$
The identity property of multiplication states that the product of any real number and $1$ is the original number.
Therefore, we can write this expression without the $1$: $b^3$
