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

Question

Responses

16

4^16
4 superscript 16 baseline

4^2
4 squared

4

Answer 1

To simplify \( 4^9 \cdot 4^{-7} \), we can use the properties of exponents. Specifically, the property states that when multiplying two powers with the same base, you add the exponents:

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

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

\[ 4^2 = 16 \]

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

So the correct answer is: 16.