Summers Rodriquez
06/22/2023 · Elementary School
4. \( \left(\frac{1}{5}\right)^{4}\left(\frac{25}{14}\right)^{2}= \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (1/5)^4*(25/14)^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{1}{5}\right)^{4}\left(\frac{25}{14}\right)^{2}\)
- step1: Expand the expression:
\(\frac{1}{625}\left(\frac{25}{14}\right)^{2}\)
- step2: Expand the expression:
\(\frac{1}{625}\times \frac{625}{196}\)
- step3: Reduce the numbers:
\(\frac{1}{196}\)
The value of \( \left(\frac{1}{5}\right)^{4}\left(\frac{25}{14}\right)^{2} \) is approximately 0.005102 or \( \frac{1}{196} \).
Quick Answer
The value is approximately 0.005102 or \( \frac{1}{196} \).
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