Short Answer

Simplifying Complex Powers in Circuit Mathematics

An apprentice electrician is reviewing a training manual section on alternating current (AC) circuit mathematics. The manual includes an exercise that requires simplifying the expression i86i^{86} to determine a specific phase factor. Based on the standard mathematical procedure for simplifying powers of the imaginary unit, what is the fully simplified value of i86i^{86}? Briefly state the two key mathematical facts you must recall to reach this answer (regarding the exponent's remainder and the definition of the resulting power).

0

1

Updated 2026-06-02

Contributors are:

Who are from:

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.8 Roots and Radicals - Intermediate Algebra @ OpenStax

Algebra

Recall in Bloom's Taxonomy

Cognitive Psychology

Psychology

Social Science

Empirical Science

Science

OpenStax Psychology (2nd ed.) Textbook