Find the numerical equivalent of 4⁹ ⋅ 4−⁷

Question

(1 point)
Responses

416
4 superscript 16 baseline

4
4

16
16

42

Answer 1

To simplify the expression \( 4^9 \cdot 4^{-7} \), 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 can find the numerical equivalent of \( 4^2 \):

\[ 4^2 = 16 \]

So the answer is \( 16 \).