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

Answer 1

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

Applying that property here:

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

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

\[ 4^2 = 16 \]

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

The correct answer is \(16\).