SOLUTION: How do I simplify {{{-27^(-4/3)}}} I know that one of the numbers is the square root and the other is the power, but I can't remember which is which... Thank you, Al

Algebra ->  Radicals -> SOLUTION: How do I simplify {{{-27^(-4/3)}}} I know that one of the numbers is the square root and the other is the power, but I can't remember which is which... Thank you, Al      Log On


   

Question 818353: How do I simplify -27%5E%28-4%2F3%29 I know that one of the numbers is the square root and the other is the power, but I can't remember which is which...
Thank you,
Al
Answer by josgarithmetic(39633) About Me  (Show Source):
You can put this solution on YOUR website!
Same as 1/(-27^(4/3))=1%2F%28-27%5E%284%2F3%29%29
1%2F%28%28-1%29%5E%284%2F3%29%2A%283%5E3%29%5E%284%2F3%29%29
1%2F%281%2A3%5E4%29
ANSWER: 1%2F81

Only part to watch for is -1^(4/3).
The "4" in the rational exponent makes this positive because it's and even power, and the (1/3) means "cubed root of" 1.