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

To simplify the expression \( 4^9 \cdot 4^{-7} \), you can use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \).

Applying this property:

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

Now calculate \( 4^2 \):

\[ 4^2 = 16 \]

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

The correct response is:

16