Question
Evaluate. Write your answer as a fraction in simplest form. \[ \left(\frac{5}{6}\right)^{2} \]
Ask by Zimmerman Ray. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(\frac{25}{36}\)
Solution
1. Start with the expression:
\[
\left(\frac{5}{6}\right)^2
\]
2. When raising a fraction to a power, raise both the numerator and the denominator to that power:
\[
\left(\frac{5}{6}\right)^2 = \frac{5^2}{6^2}
\]
3. Compute the powers:
\[
5^2 = 25 \quad \text{and} \quad 6^2 = 36
\]
4. Thus, the expression simplifies to:
\[
\frac{25}{36}
\]
5. The fraction \(\frac{25}{36}\) is already in simplest form.
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Simplify this solution Mind Expander
To evaluate \( \left(\frac{5}{6}\right)^{2} \), you square both the numerator and the denominator. So, calculate it as follows: \[ \left(\frac{5}{6}\right)^{2} = \frac{5^{2}}{6^{2}} = \frac{25}{36} \] Thus, the answer in simplest form is \( \frac{25}{36} \).
