What are the solutions to the equation and check for extraneous solutions:

16 = (x-2) ^2/3

we have x = - 62 or x = 66

Step-by-step explanation:

16 = (x-2) ^2/3

I would take square root first

4 = (x - 2) ^ (1/3)

or - 4 = (x - 2) ^ (1/3)

...

4^3 = x - 2

64 = x - 2

x = 66

or - 4 ^3 = x - 2

-64 = x - 2

x = - 62

we have x = - 62 or x = 66