1. **Problem:** Determine if 64 is both a power of 2 and a power of 4. 2. **Recall:** A number $a$ is a power of $b$ if $a = b^n$ for some integer $n$. 3. **Check if 64 is a power of 2:** $$64 = 2^6$$ 4. **Check if 64 is a power of 4:** $$64 = 4^3$$ 5. Since $64 = 2^6$ and $64 = 4^3$, 64 is both a power of 2 and a power of 4. **Answer:** Correct. 64 is both a power of 2 and a power of 4.