What is the value of 2^5?

To determine the value of (2^5), you need to understand what the notation represents. The exponent indicates how many times to multiply the base (which is 2 in this case) by itself. Therefore, (2^5) means you multiply 2 together five times:

[ 2^5 = 2 \times 2 \times 2 \times 2 \times 2

]

Calculating this step-by-step:

1. First, multiply the first two 2s: (2 \times 2 = 4)
2. Next, multiply that result by the next 2: (4 \times 2 = 8)
3. Then multiply by another 2: (8 \times 2 = 16)
4. Finally, multiply by the last 2: (16 \times 2 = 32)

The final result is (32). Hence, the value of (2^5) is indeed (32), confirming that this is the correct answer. Understanding powers and how to calculate them is fundamental in mathematics, especially when dealing with exponential growth or scaling factors.