The floor of the commons room at king middle school is in the shape of a square with side lengths of x^2 y^3 feet. new tile is going to be put on the floor of the room. find the area of the floor.

The useful hint here is the shape of the area which is square. By definition, a square is a two-dimensional figure that consist of two parallel sides have the same equal measure. The only given dimension of a square is its side. The area is equal to the square of the side. Since the side has a measure of x²y³,

A = s² = (x²y³)²
By the laws of exponents, for this problem, just simply distribute the outer exponent to each of the inner exponent.
A = x⁴y⁶