For this case we have that by definition, the area of a square is given by:
[tex]A = l ^ 2[/tex]
Where:
l: It's the side of the square
We have, according to the statement data, that:
[tex]l = 7z ^ 5 \ dm[/tex]
Then, the area is given by:
[tex]A = (7z ^ 5 \ dm) ^ 2[/tex]
By definition of power properties we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So:
[tex]A = (7z ^ 5 \ dm) ^ 2 = 49z^{5 * 2} \ dm ^ 2 = 49z^{10} \ dm ^ 2[/tex]
Answer:
The area of the square is: [tex]49z^{10} \ dm ^ 2[/tex]
