Simplify: (8x^8 y^27) ^1/3

Question

I need a little help learning how to work this problem out

Answer 1

(8x^8y^27)^1/3 =
(2^3*x^(2^3)*y^(3^3))^1/3 =
Multiply each exponent by 1/3:
2x^2y^3.

Alternate method:

Curt(8x^8 y^27) =
Curt 8 = 2
Curt x^8 = x^2
Curt y^27 = y^3.

Answer = 2x^2y^3.