Calculate 4 Cubed: Finding the Value of 4³

To solve this problem, we'll follow these steps:

• Step 1: Apply the definition of powers to calculate $4^3$.
• Step 2: Multiply 4 by itself to find intermediate results.
• Step 3: Verify the calculation against the given choices.

Now, let's work through each step:

Step 1: We need to calculate $4^3$, which means multiplying 4 by itself a total of three times.

Step 2: First, calculate $4 \times 4 = 16$. Then, multiply this result by 4 again: $16 \times 4 = 64$.

Step 3: The final result is $64$, which matches option 1 in the provided choices.

Therefore, the solution to the problem is $64$.