Question
Evaluate the expression. \[ \left(\frac{5}{8}\right)^{2} \]
Ask by Ayala Pearson. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\left(\frac{5}{8}\right)^{2} = \frac{25}{64}
\]
Solution
To evaluate the expression \(\left(\frac{5}{8}\right)^{2}\), follow these steps:
1. **Square the numerator and the denominator separately:**
\[
\left(\frac{5}{8}\right)^{2} = \frac{5^{2}}{8^{2}} = \frac{25}{64}
\]
2. **Simplify the fraction (if possible):**
\[
\frac{25}{64}
\]
In this case, the fraction cannot be simplified further since 25 and 64 have no common factors other than 1.
**Final Answer:**
\[
\left(\frac{5}{8}\right)^{2} = \frac{25}{64}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To evaluate the expression \( \left(\frac{5}{8}\right)^{2} \), you'll want to square both the numerator and the denominator. So, calculate: \[ \left(\frac{5}{8}\right)^{2} = \frac{5^{2}}{8^{2}} = \frac{25}{64} \] Therefore, the evaluated expression is \( \frac{25}{64} \).
