JacalynBoultinghouse JacalynBoultinghouse

31-12-2014
Mathematics

Answered

What is the value of i^97 - i

Answer :

Аноним Аноним

31-12-2014

[tex]if\ i\ is\ the\ imaginary\ unit\ (i=\sqrt{-1}\Rightarrow i^2=-1):\\\\i^{97}-i=i(i^{96}-1)=i(i^{48\cdot2}-1)=i[(i^2)^{48}-1]=i[(-1)^{48}-1]\\\\=i(1-1)=i\cdot0=0\\\\therefore\ \boxed{i^{97}-i=0}[/tex]

Answer Link

optimisiticlana optimisiticlana

02-08-2020

this can also be explained as b on edg

Answer Link

Other Questions

Use the following diagram for questions 4 and 5IMMEDIATEPREDECESSORSJOB AND DESCRIPTIONa Startb Get computer printouts of customer purchasesc Get stock records

To decide whether a new case belongs in a category, you are likely to use both a prototype and some background knowledge. When is this necessary?a. Some amount

26. The rationalizing factor of [tex]\sqrt[3]{9}[/tex] is:a) [tex]\sqrt[3]{3}[/tex] b) [tex]\sqrt[3]{9}[/tex] c) [tex]\sqrt{3}[/tex] d) [tex]\sqrt{9}[/tex]

In 25 words or fewer, explain how a gymnosperm differs from an angiosperm.

The increased likelihood that an individual will engage in a behavior that he or she sees someone else rewarded for doing is best explained as a. Operant condit

Because the author uses humor, irony, and exaggeration in the story to criticize his society, "Utopia" can be considered a:A. characterizationB. frameC. prologu

Excel Learning Systems Inc. was organized on September 30, 2016. Projected selling and administrative expenses for each of the first three months of operations

The table below shows a summary of Deon's credit card statement for the month of March.\begin{tabular}{|l|l|}\hline Transaction types & Amount \\\hline Unpa

Assume an investor can choose between two projects to invest in. The investor knows project A will earn 5% next year, while project B will earn 8% next year. As

Under Chapter 11, the bankruptcy court issues automatic stay to preserve the absolute priority rule. A. True B. False

Which of the following elements is not necessary to prevent value conflicts in the work place?

Article One of the Constitution illustrates how the national government's power is

Can anyone help??? simplify: cos(126°)cos(36°) + sin(126°)sin(36°)

A diseased cell is no longer able to produce proteins. Which cell structure is most likely malfunctioning?

5. Two lines that do not intersect are parallel. always sometimes never 6. When two lines are cut by a transversal, if the alternate interior angles are equal i

Which of the following elements is not necessary to prevent value conflicts in the work place?

In electrolysis of water, why is the volume of gas collected over one electrode double the volume of gas collected over the other electrode?

Cyanobacteria fossils can be dated back to the __________, while fossils of icthyosaurs indicate that they lived during the ______________.

375,940,000,000 scientific notation

as texas was defending its claim to be a new and independent repubic in 1836, a final cruical victory was won at