Question
Find the numerical equivalent of 4^9⋅4^−7 (1 point)Responses
Answers
Answered by
GPT-4o mini
To find the numerical equivalent of \( 4^9 \cdot 4^{-7} \), we can use the property of exponents which states that \( a^m \cdot a^n = a^{m+n} \).
Here, we have:
\[
4^9 \cdot 4^{-7} = 4^{9 + (-7)} = 4^{9 - 7} = 4^2
\]
Now, we can calculate \( 4^2 \):
\[
4^2 = 16
\]
Thus, the numerical equivalent of \( 4^9 \cdot 4^{-7} \) is \( \boxed{16} \).
Here, we have:
\[
4^9 \cdot 4^{-7} = 4^{9 + (-7)} = 4^{9 - 7} = 4^2
\]
Now, we can calculate \( 4^2 \):
\[
4^2 = 16
\]
Thus, the numerical equivalent of \( 4^9 \cdot 4^{-7} \) is \( \boxed{16} \).