Question

Find the numerical equivalent of 4^9⋅4^−7 Responses 4^2 4^16 4 16

Answer 1

To find the numerical equivalent of \( 4^9 \cdot 4^{-7} \), we can use the properties of exponents. Specifically, when multiplying numbers with the same base, you add the exponents:

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

Now we need to find the numerical equivalent of \( 4^2 \):

\[
4^2 = 16.
\]

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

The correct answer is \( 16 \).