1. The problem is to evaluate $4^3$ instead of $2^6$. 2. Recall the definition of exponents: $a^b$ means multiplying $a$ by itself $b$ times. 3. Calculate $4^3$ which means $4 \times 4 \times 4$. 4. Multiply step-by-step: $$4 \times 4 = 16$$ $$16 \times 4 = 64$$ 5. So, $4^3 = 64$. 6. Note that $2^6 = 64$ as well, since $2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64$. 7. Therefore, $4^3$ and $2^6$ are equal in value, both equal to 64.