Answer: The area of Ryan's chessboard is given as 64x^6y^8 square units.
We know that the area of a square is given by A = s^2, where A is the area and s is the side length.
To find the side length of the square, we can use the formula for the side length of a square in terms of its area, which is s = √A.
Substituting A = 64x^6y^8, we get:
s = √(64x^6y^8)
Using the properties of square roots, we can simplify this expression as follows:
s = √(2^6 * (x^2)^3 * (y^2)^4)
s = √(2^6) * √((x^2)^3) * √((y^2)^4)
s = 2^3 * x^3 * y^4
Therefore, the expression for the side length of Ryan's chessboard is 2^3 * x^3 * y^4.
Explanation: