Final answer:
Joe's garden has an area of 5 to the power of 4 square feet because the area is calculated by squaring the length of one side of the garden, which is 5 to the power of 2 feet.
Step-by-step explanation:
The subject in this question is Mathematics. Joe's garden is described as being square-shaped with each side having a length of 5 to the power of 2 feet. To find the area of the garden, we need to square this length because the formula for the area of a square is side length squared (A = s2).
The area of Joe's garden is (52)2 = 54 because when you have an exponent raised to another exponent, you multiply the exponents. Therefore, Joe's garden area in square feet would be expressed using exponents as 54 square feet.