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

Question

2
5

⋅
2
−
2
(1 point)
Responses

Answer 1

To find the numerical equivalent of the expression \( 2^5 \cdot 2^{-2} \), you can use the properties of exponents. Specifically, when multiplying numbers with the same base, you add the exponents:

\[ 2^5 \cdot 2^{-2} = 2^{5 + (-2)} = 2^{5 - 2} = 2^3 \]

Now, calculate \( 2^3 \):

\[ 2^3 = 8 \]

Thus, the numerical equivalent of \( 2^5 \cdot 2^{-2} \) is 8.