Question

Find the numerical equivalent of 2 5 ⋅2 −2

Answer 1

To evaluate the expression \( 2^5 \cdot 2^{-2} \), we can first simplify by combining the exponents since they have the same base.

Using the property of exponents that states \( a^m \cdot a^n = a^{m+n} \), we combine the exponents:

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

Now, we can calculate \( 2^3 \):

\[
2^3 = 2 \cdot 2 \cdot 2 = 8
\]

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

\[
\boxed{8}
\]