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

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

• A. 16
• B. 32
• C. 8
• D. 10

Answer: (B)

To determine the value of (2^3) * (2^2), we can use the properties of exponents. Specifically, one of the key properties states that when multiplying expressions with the same base, we add the exponents. In this case, both terms have the base of 2. Therefore, we can rewrite the expression as follows: (2^3) * (2^2) = 2^(3+2). Now, we perform the addition of the exponents: 3 + 2 = 5. This means the expression simplifies to: 2^5. Next, we need to evaluate 2^5, which can be calculated as: 2 * 2 * 2 * 2 * 2 = 32. Thus, the value of (2^3) * (2^2) is 32, making it the correct answer.

To determine the value of (2^3) * (2^2), we can use the properties of exponents. Specifically, one of the key properties states that when multiplying expressions with the same base, we add the exponents.

In this case, both terms have the base of 2. Therefore, we can rewrite the expression as follows:

(2^3) * (2^2) = 2^(3+2).

Now, we perform the addition of the exponents:

3 + 2 = 5.

This means the expression simplifies to:

2^5.

Next, we need to evaluate 2^5, which can be calculated as:

2 * 2 * 2 * 2 * 2 = 32.

Thus, the value of (2^3) * (2^2) is 32, making it the correct answer.