Answer:
Step-by-step explanation:
So, to solve this, lets just break down 1323.
Just looking at it, I am going to take a 3:
1323/3
=
441
So now we have:
3*441=1323
Can we break down 441 any more?
Yup, I can see that 3 goes into 450, 150 times and 441 is 9 less than 450, which means it 3 times less than 150 times, which is 147.
So now we have:
3*3*147=1323
Again, we can take something from 147.
7*20 is 140, and 147 is 7 more than that. So 7*21=147.
This further means:
3*3*7*21=1323
Now it probably isnt too difficult now.
21 can be broken down into 3*7.
So we can rewrite it as:
3*3*7*3*7=1323
And we can use exponents for the extra 3's and 7's we have, so we can simplfy it as:
3^3*7^2=1323
The perfect cube here is 3, since we cube 3(3^3), and then multiply it by 2 7s to make 1323.
The perfect square here is 7, since we square 7(7^2), and then multiply it by 3 3s.
So the PERFECT CUBE for your answer is 3.
The PERFECT SQUARE is 7.
Hope this helps!
