Thursday, 8 February 2018

exponentiation - Negative Number raised to fractional power

How would you solve a negative number raised to a fraction a/b if b is odd and a is evem?
Ignoring imaginary numbers



i.e $(-1)^\frac23$ Calculator returns an error



$(-1)^\frac 13 (-1)^\frac 13$ = -1.-1 = 1 (By law of indices)



or




$(-1^\frac13 )^2$ = 1



or



$(-1^2)^\frac13$ = 1



What about for other cases of a and b?

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