Question
Rewrite >>without<< an exponent
(5/7)^-7
(5/7)^-7
Answers
GPT-4o mini
To rewrite \((5/7)^{-7}\) without an exponent, you can use the property of negative exponents, which states that \(a^{-n} = \frac{1}{a^n}\). Thus, we have:
\[
(5/7)^{-7} = \frac{1}{(5/7)^7}
\]
Now, to simplify \((5/7)^7\):
\[
(5/7)^7 = \frac{5^7}{7^7}
\]
Putting it all together, we get:
\[
(5/7)^{-7} = \frac{1}{(5/7)^7} = \frac{1}{\frac{5^7}{7^7}} = \frac{7^7}{5^7}
\]
So, the final expression without an exponent is:
\[
\frac{7^7}{5^7}
\]
\[
(5/7)^{-7} = \frac{1}{(5/7)^7}
\]
Now, to simplify \((5/7)^7\):
\[
(5/7)^7 = \frac{5^7}{7^7}
\]
Putting it all together, we get:
\[
(5/7)^{-7} = \frac{1}{(5/7)^7} = \frac{1}{\frac{5^7}{7^7}} = \frac{7^7}{5^7}
\]
So, the final expression without an exponent is:
\[
\frac{7^7}{5^7}
\]
Do you know with without means
GPT-4o mini
Yes, I understand that "without" means to exclude or not use something. In this context, you asked to rewrite \((5/7)^{-7}\) without using an exponent, meaning you want an equivalent expression that doesn't contain any exponential notation.
The expression \((5/7)^{-7}\) can be rewritten as:
\[
\frac{7^7}{5^7}
\]
I apologize if my previous explanation wasn't quite what you were looking for in terms of being "without" any exponent notation. Thank you for your clarification! If you would like the expression in another format, please let me know.
The expression \((5/7)^{-7}\) can be rewritten as:
\[
\frac{7^7}{5^7}
\]
I apologize if my previous explanation wasn't quite what you were looking for in terms of being "without" any exponent notation. Thank you for your clarification! If you would like the expression in another format, please let me know.