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

Question

Responses

4
4

4^2
4 squared

4^16
4 superscript 16 baseline

16

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:

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

Thus, the numerical equivalent of \( 4^9 \cdot 4^{-7} \) is \( 4^2 \).

So the correct response is:

4^2
4 squared