What is the value of (2^3)^2?

To find the value of (2^3)^2, you can use the power of a power property in exponents, which states that when you raise a power to another power, you multiply the exponents.

Here, you have 2 raised to the power of 3, which is written as 2^3. Calculating 2^3 gives you 2 * 2 * 2, which is 8.

Now, you take that result (8) and raise it to the power of 2: (2^3)^2 = 8^2. Calculating 8^2 involves multiplying 8 by itself, which results in 8 * 8 = 64.

Thus, the final value of (2^3)^2 is 64. This shows that using the property of exponents leads to the correct calculation step by step, confirming that the answer is indeed D, not B.