Simplified radical form

Write the expression in simplified radical form: 3√192x^6y^8.

3√192x6y8

8 x 24

8 x 8 x 3 = 192

x^3 + x^3 = x^6

4 x 2 = y^8

= √8x^3y^4

Is this correct? If not, can you please explain step by step? Thank you.

if you mean: 3 √(192x^6 y^8) = 3 √[(64*3)x^6 y^8]

then simplified it is: (3*8)x^3 y^4√3

@ƒ

additional details:

the cube root is equivalent to: (192x^6 y^8)^(1/3) =

4x^2 y^2(3y^2)^(1/3)