Question

The square shown has sides of length 7z^5 decimeters. Find its area

Answer 1

For this case we have that by definition, the area of a square is given by:

`A = l ^ 2`

Where:

l: It's the side of the square

We have, according to the statement data, that:

`l = 7z ^ 5 \ dm`

Then, the area is given by:

`A = (7z ^ 5 \ dm) ^ 2`

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

So:

`A = (7z ^ 5 \ dm) ^ 2 = 49z^(5 * 2) \ dm ^ 2 = 49z^(10) \ dm ^ 2`

Answer:

The area of the square is:
`49z^(10) \ dm ^ 2`