Algebra 2
posted by Hannah on .
Factor
12^23

Factor
12^2  3
Factor out 3.
3(4^2  1) 
Be sure to check your work:
12^23 = 1443 = 141
3(4^21) = 3(161) = 3(15) = 45
what happened?
12^23 = (3*4)^23 = 3*4*3*4  3
You can see that the 3 can't just be factored from 12^2, because that would factor out 3^2.
So, what you get is
3(4*3*41) = 3(481)