Step-by-step Answer:
To answer this question, we can simplify each expression and then substitute n.
If you use a calculator, you can just plug-in n=2 to see which one is the greatest.
A. n^5*n^2/n^4 = n^(5+2-4) = n^3
B. n^2*n^3/n = n^(2+3-1) = n^4
C. (n^2)^3/n = n^(2*3-1) = n^5
D (n^5)^2/n^4 = n^(5*2-4) = n^6
As long as n>1, the higher power n has, the larger is the number.
Therefore (n^5)^2/n^4 = n^(5*2-4) = n^6 is the winner!
