Question

(27)to the power 2/3 divided by (81/16) to the power -1/4

Answer 1

27 is 3to the power 3
so 27^(2/3) = 3^2 = 9

and (81/16)^-1/4 == (3/2)^-1 = 2/3

so answer may be 9 × 3/2 == 27/2

Answer 2

(27)^2/3=(3^3)^2/3=3^2=9
(81/16)^-1/4=(3/4)^-1=4/3