The game of checkers is played on a square board. If the length of one side of the board is 4^2 inches, what is the area of the board in square inches? Express your answer using exponents. Be sure to include units.
What’s the answer
Area = length x width
To find the area of the board, we need to multiply the length of one side by itself.
Given that the length of one side is 4^2 inches, we substitute 4^2 into the formula for area.
Area of the board = (4^2 inches) * (4^2 inches)
To simplify this expression, we multiply the numbers (4*4 = 16) and combine the exponents (2+2 = 4):
Area of the board = 16^4 square inches
Thus, the area of the board is 16^4 square inches.