Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q64. (page 293)

Simplify

i14

Short Answer

Expert verified

The simplified value of expression is i14=-1.

Step by step solution

01

Step 1. Given Information.

Given to simplify the expression i14

02

Step 2. Explanation.

From the properties of complex numbers, i2=-1

Using the above property,

i14=i2×7i14=i27i14=−17i14=−1

03

Step 3. Conclusion.

Therefore, the simplified value of expression is i14=-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

A tour bus in the historic district of Savannah, Georgia, serves 300 customers a day. The charge is \(8 per person. The owner estimates that the company would lose 20 passengers a day for each \)1 fare increase. If the company raised their fare to this price, how much daily income should they expect to bring in?

Complete parts a-c for each quadratic function.

  1. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.
  2. Make a table of values that includes the vertex.
  3. Use this information to graph the function.

f(x)=x2+4

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

x2-9x=-18

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

2x2=x+15

Complete parts a-c for each quadratic function.

a. Find y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.

b. Make a table of values that includes the vertex.

c. Use this information to graph the function.

f(x)=0.5x2-1
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

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