Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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

Given information

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

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

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

Simplify

${(1)}^{23}$

1

Conclusion

The simplified expression is $1$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain what is meant by the $n^{t h}$ root of a number.

Use the Quotient Property to simplify square roots.

$\sqrt{\frac{28 q^{6}}{225}}$

Write with a rational exponent:

(a) $\sqrt[7]{3 k}$

(b) $\sqrt[4]{5 j}$

In the following exercises, solve.

$\sqrt{4 m + 2} + 2 = 6$

What is the difference between $9^{2}$ and $\sqrt{9}$ ?

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

Simplify: $i^{92}$

Short Answer

Step by step solution

Given information

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

Simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Company

Product

Help

Simplify:i92

Short Answer

Step by step solution

Given information

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

Simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Study anywhere. Anytime. Across all devices.

Simplify: $i^{92}$