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: $49z^{10} \ dm ^ 2$