Question

Find the numerical equivalent to 2^5 . 2^-2

Answer 1

To find the numerical equivalent of \( 2^5 \cdot 2^{-2} \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property here:

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

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

\[
2^3 = 8
\]

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