do we swap the numbers around if the fraction is negative?

Question

the question is (8/27)-^1/3

how do I simplify this?

Answer 1

(8/27)^-1/3  =  8^-1/3/27^-1/3 = 27^1/3/8^1/3 = 3/2

 

You could also flip it to begin with:

 

(8/27)^-1/3 = (27/8)^1/3 = 3/2