"So what would it mean to cube a complex number?" asked Betty. "That's easy", replied John. "For example (2cis)3 = 2cis 2cis 2cis = 4cis 2cis = 8cis which actually equals 8i." "Look at what happened," said Betty, all lit up from her discovery. "The length was cubed and the angle was multiplied by three. Do you think this suggests a pattern, John?"