Try this way
(t - 1) ^-2/3 = 2
the answer is {4 - sqrt of 2 / 4}, {4 + sqrt of 2 / 4}
my steps:
1. raise each side a neg 3 to elimate neg 2
2. the 2 becomes 1/8
3. apply even root property
t-1 = + or - 1 / 2 times sq rt of 2 and from there i know i srewed up, any tips would be great