Harmonic fraction exponent series

n

Exponent

v = (vf)(1/n)

vf = [(vf)(1/n)](n)

−3

−1/3

(100)(−1/3) = 1/4.641588

(1/4.641588)(−3) = 100

−2

−1/2

(100)(−1/2) = 1/10

(1/10)(−2) = 100

−1

−1/1

(100)(−1/1) = 1/100

(1/100)(−1) = 100

0

0

(100)(0) = 1

+1

+1/1

(100)(+1/1) = 100

(100)(+1) = 100

+2

+1/2

(100)(+1/2) = 10

(10)(+2) = 100

+3

+1/3

(100)(+1/3) = 4.641588

(4.641588)(+3) = 100