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-1/27
There are two important thing in this quesion which can create problem for us. One is exponent is negative. And second is what is base under the exponent 3 or -3.
The solution of these two confusions is as following 1-I already mention in negative exponent related articles that first convert the negative exponent into positive exponent. 2-I have also explained that the base with a negative sign without paratheses mean exponent is not on negative sign.
-3 -3 1 = ---- 3 -3 1 = ------- 3 -1.3 1 = ----- -27 1 = - ---- 27
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1/3 -2/3 2n - 2n -------------- = ? -2/3 2n
_____________________ / _____________ / / ____ / / / 2 / 4 / 4 . / 4 / \/ \/ / -------------------- / 3 \/ 2