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.