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-n Before solution of (-1)
Let us see the solution of -1 base to power 2 and 3.
We know that 2 (-1) = 1 And 3 (-1) = -1
therefore -1 to any EVEN power is 1 and -1 to any ODD power is -1. By putting this rule to all integers. We get ...
_ n | (-1) = 1 if n is EVEN | n > (-1) = -1 if n is ODD | _| Similarly -n 1 1 _ (-1) = ------- = ---- = 1 if x is EVEN | n 1 | (-1) | | -n -1 1 > (-1) = ------ = ---- = -1 if x is ODD | n -1 | (-1) | _|
Final answer will be 1 when n is EVEN and -1 when n is ODD.
1/3 -2/3 2n - 2n -------------- = ? -2/3 2n
_____________________ / _____________ / / ____ / / / 2 / 4 / 4 . / 4 / \/ \/ / -------------------- / 3 \/ 2