What is the solution to the equation? 16 = (x-2) ^2/3

2^4 = (x - 2) ^ (2/3) Multiply the powers on both sides by 3/2

2^ (4*3/2) = (x - 2) ^ [ (2/3) * (3/2) ]

2^6 = (x - 2) ^1

2^6 = (x - 2)

but 2^6 = 64

64 = (x - 2) Remove the brackets.

64 = x - 2 Add 2 to both sides.

66 = x