What is the value of 2^5?

What is the value of 2^5?

• A. 16
• B. 24
• C. 30
• D. 32

Answer: (D)

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.

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.