Find the numerical equivalent of 4^9⋅4^−7

Question

(1 point)
Responses

42
4 squared

416
4 superscript 16 baseline

16
16

4

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 this property here:

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

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

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

So, the correct response is:

16