Question

fields a field is in the shape of a square. the length of the field is $5x^{3}y^{5}$. what is the area of the field in terms of x and y? write the variables in alphabetical order.

Explanation:

Step1: Recall square area formula

Area = $\text{side length}^2$

Step2: Substitute given side length

Area = $(5x^3y^5)^2$

Step3: Expand using exponent rules

First, square the coefficient: $5^2=25$
Then apply $(a^m)^n=a^{m \times n}$ to variables:
$(x^3)^2=x^{3 \times 2}=x^6$, $(y^5)^2=y^{5 \times 2}=y^{10}$
Combine terms: $25x^6y^{10}$

Answer:

$25x^6y^{10}$