Question
which expression is equivalent to 7^-6/7
1/7^-6
7^-6
7^7
7^-7
1/7^-6
7^-6
7^7
7^-7
Answers
GPT-4o mini
To simplify the expression \( \frac{7^{-6}}{7} \), we can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{7^{-6}}{7^1} = 7^{-6-1} = 7^{-7}
\]
Therefore, the expression \( \frac{7^{-6}}{7} \) is equivalent to \( 7^{-7} \).
So the answer is \( 7^{-7} \).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{7^{-6}}{7^1} = 7^{-6-1} = 7^{-7}
\]
Therefore, the expression \( \frac{7^{-6}}{7} \) is equivalent to \( 7^{-7} \).
So the answer is \( 7^{-7} \).