Question
simplify \( \frac{1}{625} \)
Answers
GPT-4o mini
To simplify \( \frac{1}{625} \), we can express the denominator in terms of its prime factorization.
The number \( 625 \) can be factored as follows:
\[
625 = 25 \times 25 = 5^2 \times 5^2 = 5^4
\]
Thus, we can rewrite \( \frac{1}{625} \) as:
\[
\frac{1}{625} = \frac{1}{5^4}
\]
This is already a simplified form. Therefore, the simplified form of \( \frac{1}{625} \) is:
\[
\frac{1}{625} = 5^{-4}
\]
So, in summary, the simplified version of \( \frac{1}{625} \) is:
\[
\boxed{\frac{1}{625}}
\]
or alternatively, as \( 5^{-4} \).
The number \( 625 \) can be factored as follows:
\[
625 = 25 \times 25 = 5^2 \times 5^2 = 5^4
\]
Thus, we can rewrite \( \frac{1}{625} \) as:
\[
\frac{1}{625} = \frac{1}{5^4}
\]
This is already a simplified form. Therefore, the simplified form of \( \frac{1}{625} \) is:
\[
\frac{1}{625} = 5^{-4}
\]
So, in summary, the simplified version of \( \frac{1}{625} \) is:
\[
\boxed{\frac{1}{625}}
\]
or alternatively, as \( 5^{-4} \).