Question 1173755
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Hi
{{{( x^m )( x^n ) = x^( m + n )}}}
{{{x^m/x^n=x^(m-n)}}}
((\root(6)(8)\root(2)(8^(3))))/(\root(3)(8^(4)))
{{{ (8^(1/6))(8^(3(1/2))) /( 8^4)^(1/3)}}} 
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.