SOLUTION: please simplify fully; (27x^6)^2/3

Algebra ->  Proportions -> SOLUTION: please simplify fully; (27x^6)^2/3      Log On


   



Question 1099360: please simplify fully; (27x^6)^2/3
Found 2 solutions by Boreal, Edwin McCravy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is 27^(2/3)*(x^6)^(2/3)
27^(2/3) is the cube root of 27 (which is 3) squared, or 9
One could also say it is the cube root of 27 squared or the cube root of 729, but that is more difficult.
x^6 raised to the 2/3 power is x^4, using the product rule of exponents, 6*(2/3)=4
9x^4.

Answer by Edwin McCravy(20054) About Me  (Show Source):