SOLUTION: Bobby and Susie and working on a math problem. When they get done, they like to compare their answers so that they know if they are doing things correctly or not. Below you’ll find

Algebra ->  Rational-functions -> SOLUTION: Bobby and Susie and working on a math problem. When they get done, they like to compare their answers so that they know if they are doing things correctly or not. Below you’ll find      Log On


   

Question 1006598: Bobby and Susie and working on a math problem. When they get done, they like to compare their answers so that they know if they are doing things correctly or not. Below you’ll find Bobby’s and Susie’s work:
Bobby: i97 = (i2)48 • i = (-1)48 • i = 1 • i = i
Susie: i97=(i4 )24 • i = 1 • i = i
Obviously, they got the same answer, but then they become increasingly confused because they did the problem differently. Go through each person’s work and explain what they did. Is one person “more correct” than the other? Is one person correct and the other incorrect? Are both answers correct with correct work? Explain your reasoning using what you learned from this lesson. Once you have analyzed each person's work, now use each person's method to simplify i^200.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Both Bobby and Susie used wrong notation in their work.

Their work using correct notation as intended,

Bobby:
i%5E%2897%29
%28i%5E%282%29%29%5E48%2Ai
%28-1%29%5E48%2Ai
1%2Ai
i

Susie:
i%5E97=%28i%5E4%29%5E24%2Ai
%281%29%5E24%2Ai
1%2Ai
i

Both of their solution process is good in using CORRECT NOTATION.
Bobby isolated for the group of i%5E2=-1, and Suzie isolated for group of i%5E4=1;
and both used rules of exponents properly.