1. The problem states: Given $X=5$ and $Y=6$, find $(XY)^2$. 2. The formula to use is the power of a product: $$(XY)^2 = X^2 Y^2$$ which means you square each factor and then multiply. 3. Substitute the given values: $$X=5, Y=6$$ 4. Calculate each square: $$5^2 = 25$$ and $$6^2 = 36$$ 5. Multiply the results: $$25 \times 36 = 900$$ 6. Therefore, the value of $(XY)^2$ is $$900$$.