# “Bobby and Susie and working

**Question description**

“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: *i*^{97} = (*i*^{2})^{48} • *i* = (-1)^{48 }*• i = 1 • i = **i*

Susie:* i ^{97}*=(i

^{4 })

^{24}•

*i*= 1 •

*i*=

*i*

**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.

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors