Let z be a nonzero complex number and n a negative integer (n = 1,2, . . .). Also, write z = reiθ and m

Let z be a nonzero complex number and n a negative integer (n = ˆ’1,ˆ’2, . . .). Also, write z = reiθ and m = ˆ’n = 1, 2, . . . . Using the expressions

verify that (zm)ˆ’1 = (zˆ’1)m and hence that the definition zn = (zˆ’1)m in Sec. 7 could have been written alternatively as zn = (zm)ˆ’1.

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