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

Question

asked Jun 7, 2020 227k views

1 Answer

Michel Rouzic · Answer 1 · 2020-06-12T23:45:58+0000

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:
$49z^(10) \ dm ^ 2$