SOLUTION: 27 exponent 2/3 = (27 exponent 1/3)exponent 2 = 3 exponent 2 = 9 How to you get from step 2 (27 exponent 1/3) exponent 2 to step 3 (3 exponent 2)?

Algebra ->  Exponents -> SOLUTION: 27 exponent 2/3 = (27 exponent 1/3)exponent 2 = 3 exponent 2 = 9 How to you get from step 2 (27 exponent 1/3) exponent 2 to step 3 (3 exponent 2)?      Log On


   

Question 48520: 27 exponent 2/3 = (27 exponent 1/3)exponent 2 = 3 exponent 2 = 9 How to you get from step 2 (27 exponent 1/3) exponent 2 to step 3 (3 exponent 2)?
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%2827%5E%282%2F3%29%29 [Find the 3rd root of 27 which is 3]
%283%5E3%29%5E%282%2F3%29 [27 is the same as %283%5E3%29]
%283%5E%28%283%2F1%29%282%2F3%29%29%29 [Multiply exponents raised to another power]
%283%5E%282%29%29 [Cancel within the exponents if possible]
= 9