Find the numerical equivalent of 4 with an exponent of 9 times 4 with a exponent of -7. (1 point) Responses 4, 4 with an exponent of 2, 4 with an exponent of 16, and 16.

Answer 1

To find the numerical equivalent of \( 4^9 \times 4^{-7} \), we can apply the laws of exponents. Specifically, when multiplying two expressions with the same base, we add the exponents:

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

Now we know \( 4^2 = 16 \).

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