SOLUTION: Please explain step by step how I work this problem (-8)^-4/3 to get the answer 1/16

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Question 1070692: Please explain step by step how I work this problem (-8)^-4/3 to get the answer 1/16
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(-8)^(-4/3)

%28-8%29%5E%28-4%2F3%29

%28%28-2%5E3%29%29%5E%28-4%2F3%29

%28%28-1%2A2%29%5E3%29%5E%28-4%2F3%29

%28-1%2A2%29%5E%28-3%2A%284%2F3%29%29

%28-1%2A2%29%5E%28-4%29

%28-1%2F2%29%5E4

%28-1%2F2%29%5E2%2A%28-1%2F2%29%5E2

%281%2F4%29%281%2F4%29

1%2F16----------done

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Please explain step by step how I work this problem (-8)^-4/3 to get the answer 1/16
matrix%282%2C1%2C+%22+%22%2C+%28-+8%29%5E%28-+4%2F3%29%29 =====> %28-+1%2F8%29%5E%284%2F3%29 ======> %28root+%283%2C+-+1%2F8%29%29%5E4 ======>
-------------------------------- OR ----------------------------------
matrix%282%2C1%2C+%22+%22%2C+%28-+8%29%5E%28-+4%2F3%29%29 =====> %28%28-+2%29%5E3%29%5E%28-+4%2F3%29 ======> matrix%282%2C1%2C+%22+%22%2C+%28-+2%29%5E%283+%2A+%28-+4%2F3%29%29%29 ========> %28-+2%29%5E%28-+4%29 =======>
There it is....nothing COMPLEX nor CONFUSING!