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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. 8.178 (page 843)

Simplify: $i^{92}$

Short Answer

Expert verified

The simplified expression is $1$

Step by step solution

01

Given information

We are given an expression $i^{92}$

02

Step 2: Divide 86 by 4 and rewrite i92 as (i4)q×(ir)

We get, ${(i^{4})}^{23}$

03

Simplify

${(1)}^{23}$

1

04

Conclusion

The simplified expression is $1$

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