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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 8: Q. 8.177 (page 843)

Simplify: $i^{75}$

Short Answer

Expert verified

The simplified expression is $- i$

Step by step solution

01

Given information

We are given an expression $i^{75}$

02

Divide 86 by 4 and rewrite i75 as (i4)q×ir

We get ${(i^{4})}^{18} 脳 i^{3}$

03

Simplify

${(1)}^{18} 脳 (- 1) i - i$

04

Conclusion

The simplified expression is $- i$

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