Answer
$c^{15}$
Work Step by Step
We start with the given expression: $(c^3)^5(d^3)^0$
To raise a power to a power, we multiply the exponents: $c^{15}d^0$
The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$
Therefore, we simplify to: $c^{15}\times1$
The identity property of multiplication states that the product of any real number and $1$ is the original number.
Therefore, we can simplify to $c^{15}$.