Evaluate (5/6)² : Calculate the Square of Five-Sixths

Question

Evaluate the expression:

(56)2=(\frac{5}{6})^2=

Step-by-Step Solution

To evaluate (56)2(\frac{5}{6})^2, raise both the numerator and the denominator to the power of 2:

Numerator: 52=5×5=255^2 = 5 \times 5 = 25

Denominator: 62=6×6=366^2 = 6 \times 6 = 36

Therefore, (56)2=2536(\frac{5}{6})^2 = \frac{25}{36}.

Answer

2536\frac{25}{36}