Simplify $\frac{8^4}{2^4}$ and give the answer as a power of 4.

The exponents are equal, so use the power-of-a-quotient law: $\frac{8^4}{2^4}={\left(\frac{8}{2}\right)}^4=4^4$. Check: $\frac{4096}{16}=256=4^4$. Subtracting the exponents to get $4^0=1$ is the trap — that rule needs matching bases, not matching exponents.