He factor tree for 1,764 is shown.

what is the simplest form of ?

32(72)

22(32)(72)
21
42

We are given number 1,764.

And a factor tree of 1,764 is show in the diagram.

First 1764 is factored into 2 and 882.

Then 882 is factored to 2 and 441.

441 is factored to 9 and 49.

And finally 9 is factored to 3 and 3.

49 is factored to 7 and 7.

So final factors we got 3 × 3 × 7 × 7.

3 × 3 could be written as 3^2 and

7 × 7 = could be written as 7^2.