can someone please answer this question

Question

Which expression is equivalent to ?

Answer 1

So what you do in this problem, is to multiply the exponents together. Here we have x^27 * 1/3 * y^1 * 1/3. So 27 times 1/3 equals 9. Then 1 times 1/3 - 1/3. So we then end up with x^9 * the cube root of y. Y^1/3 power is the cube root of y, and there can be no further simplification you can do with that. The correct answer is then option B in the problem.

Answer 2

(x^27*y)^ (1/3) =

x^27^(1/3) * y^(1/3) =

x^(27/3) * y^(1/3) =

x^9 * y^(1/3) =

x^9 * cube_root(y)

option B