To simplify the given expression, we will use the . For this exercise, we will begin by distributing the to the numerator and denominator. Then we will try to eliminate the exponent by splitting the terms into perfect cube factors. Let's do it!
(27y98x6)31
(27y9)31(8x6)31
(27)31⋅(y9)31(8)31⋅(x6)31
(33)31⋅(y9)31(23)31⋅(x6)31
33⋅31⋅y9⋅3123⋅31⋅x6⋅31
333⋅y39233⋅x36
31⋅y321⋅x2
3⋅y32⋅x2
3y32x2