Calculate the value of 2 raised to the power of 5.

To find the value of 2 raised to the power of 5, you need to calculate (2^5). This means you multiply 2 by itself a total of 5 times:

[

2 \times 2 \times 2 \times 2 \times 2

]

Calculating step-by-step:

1. (2 \times 2 = 4)

2. (4 \times 2 = 8)

3. (8 \times 2 = 16)

4. (16 \times 2 = 32)

Thus, (2^5) equals 32.

This is why the answer is the value of 32, which corresponds with the choice you indicated. Each of the other options represents a different power of 2 or miscalculations of this expression. In particular, 64 corresponds to (2^6) and 16 corresponds to (2^4), while 24 does not correspond to any power of 2 in this sequence. This further emphasizes that 32 is the correct result for (2^5).