SOLUTION: Simplify using exponent laws, then evaluate: ((\root(6)(8)\root(2)(8^(3))))/(\root(3)(8^(4)))

Algebra ->  Exponents -> SOLUTION: Simplify using exponent laws, then evaluate: ((\root(6)(8)\root(2)(8^(3))))/(\root(3)(8^(4)))      Log On


   

Question 1173755: Simplify using exponent laws, then evaluate:
((\root(6)(8)\root(2)(8^(3))))/(\root(3)(8^(4)))
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29

x%5Em%2Fx%5En=x%5E%28m-n%29

((\root(6)(8)\root(2)(8^(3))))/(\root(3)(8^(4)))

+%288%5E%281%2F6%29%29%288%5E%283%281%2F2%29%29%29+%2F%28+8%5E4%29%5E%281%2F3%29 

Combine and Simplify according to the Law of Exponents

 1/6 + 3/2 = 1/6 + 9/6 = 10/6 = 5/3  

numerator 8^5/3 , the denominator 8^4/3

 5/3 - 4/3 = 1/3

 8^(1/3) = 2  Simplified & Evaluated.

Wish You the Best in your Studies.