Find the numerical equivalent of 4 raised to the power of 9⋅4 raised to the power of −7(1 point) Responses 4 raised to the power of 2 4 16 4 raised to the power of 16 4

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:

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

Now, we can find the numerical equivalent of \( 4^{2} \):

\[ 4^{2} = 16 \]

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