Let's assume the dimensions of the town park are as follows:
Length = L
Width = W
Two equivalent expressions for the area of the park using exponents are:
1. A = L^2 * W^0
In this expression, we use the property that any number raised to the power of 0 is equal to 1, so W^0 = 1. Therefore, this expression simplifies to:
A = L^2 * 1
A = L^2
2. A = L^(1+1) * W^0
In this expression, we use the property that when you add exponents with the same base, you can multiply the base raised to the sum of the exponents. Therefore, this expression simplifies to:
A = L^2 * 1
A = L^2
Both expressions are equivalent and represent the area of the town park using exponents.