Evaluate. Write your answer as a fraction in simplest form. $$ \left(\frac{5}{6}\right)^{2} $$

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UpStudy AI · Accepted Answer

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.
$$\frac{25}{36}$$

Evaluate. Write your answer as a fraction in simplest form. \[ \left(\frac{5}{6}\right)^{2} \]

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