SOLUTION: Evaluate: (4096)^0.05(4096)^0.2 Books answer was 8. I tried several methods but couldn't get 8. Please help.

Algebra ->  Expressions -> SOLUTION: Evaluate: (4096)^0.05(4096)^0.2 Books answer was 8. I tried several methods but couldn't get 8. Please help.      Log On


   



Question 978776: Evaluate: (4096)^0.05(4096)^0.2
Books answer was 8. I tried several methods but couldn't get 8. Please help.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is worth knowing that 2^10=1024 (that is a kilobyte)
doubling it twice gives 4096, which is 2^12.
Now rewrite
(2^12)^0.05*(2^12)^0.20=
2^0.6* 2^2.4
=2^(0.6+2.4)=2^3=8