(9 • 5/6)2

To evaluate \((9 \cdot \frac{5}{6})^2\), follow these steps:

1. First calculate \(9 \cdot \frac{5}{6}\): \[ 9 \cdot \frac{5}{6} = \frac{9 \cdot 5}{6} = \frac{45}{6} \] We can simplify \(\frac{45}{6}\) by dividing the numerator and the denominator by 3: \[ \frac{45 \div 3}{6 \div 3} = \frac{15}{2} \]

2. Now square the result: \[ \left(\frac{15}{2}\right)^2 = \frac{15^2}{2^2} = \frac{225}{4} \]

So, the final answer is: \[ (9 \cdot \frac{5}{6})^2 = \frac{225}{4} \]