Find the numerical equivalent of 2 rasied to the power of 5 ⋅2 rasied to the power of −2(1 point) Responses 128 8 2 16

Answer 1

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

So,

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

Now calculate \( 2^3 \):

\[ 2^3 = 8 \]

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