Find the numerical equivalent of 4^9⋅4^−7 (1 point) Responses 4 4 16 16 42 4 squared 416

Answer 1

To find the numerical equivalent of \( 4^9 \cdot 4^{-7} \), we can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

So, we can add the exponents:

\[ 4^9 \cdot 4^{-7} = 4^{9 + (-7)} = 4^{9 - 7} = 4^2 \]

Now, we calculate \( 4^2 \):

\[ 4^2 = 16 \]

Therefore, the numerical equivalent of \( 4^9 \cdot 4^{-7} \) is \( 16 \).

The correct response is: 16.