Find the numerical equivalent of 2^5 ⋅2^−2

Question

(1 point)

Answer 1

To find the numerical equivalent of 2^5 ⋅ 2^(-2), we can simplify the expression using the properties of exponents.

First, we can apply the exponent rule for multiplication, which states that when multiplying two terms with the same base, we can add their exponents.

2^5 ⋅ 2^(-2) = 2^(5 + (-2)) = 2^3.

Next, we can simplify 2^3, which means multiplying 2 by itself three times.

2^3 = 2 × 2 × 2 = 8.

Therefore, the numerical equivalent of 2^5 ⋅ 2^(-2) is 8.