Find the numerical equivalent of 4^9⋅4^−7 (1 point)

Question

Responses

416
4 superscript 16 baseline

42
4 squared

16
16

4

Answer 1

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

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

Now, we can simplify \( 4^2 \):

\[ 4^2 = 16 \]

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

The correct response is: 16