Given that the area of the chess board below is , and the side length of each small square is cm, find the value of .
Since the length of each small square is , we know that the chess board is a square with a side length of .
Use the formula for the area of a square. Manipulate the right side of the equation until both sides of the equation are identical except for the exponents.
The bases are the same, so the exponents must be equal. Therefore, .