Absolutely, let's break it down.
First of all, we have a square. A square is a shape where all sides are equal in length. That's our starting point.
Secondly, the length of each side of this square is given as 3a to the power of 5. In mathematical notation, we can write this as (3a)^5.
The formula for the area of a square is given as the square of the side length. In other words, we need to multiply the length of the side by itself.
So if the length of the side is (3a)^5, we need to square it to get the area. When you square any exponential value, you simply multiply the exponent by the exponent in the power operation. That's a basic rule in exponents.
Hence, when we square (3a)^5, we get (3a)^(5*2), which simplifies to (3a)^10.
So, the area of the square with a side length of (3a)^5 is (3a)^10.