radomes.openskiesproject.org
ilol1aWiesh7judymoni
ilol1aWiesh7judymoni ilol1aWiesh7judymoni
  • 31-07-2016
  • Mathematics
Answered

Simplify i 41

Ai

B)-1

C)-i

D1

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 31-07-2016

i^41 = (i^4)^((10) + 1) = i        [i^4 = 1]

Answer Link
facundo3141592
facundo3141592 facundo3141592
  • 13-11-2019

Answer: The right option is A) i^41 = i

Step-by-step explanation:

We want to simplify the expresion i^41.

now we will use the next relations:

a^(xy) = (a^x)^y

(a^x)(a^y) = a^(a+y)

And we know tath i^2 = -1

i^3 = ii^2 = -i

i^4 = (i^2)(i^2) = -1-1 = 1

now, i^41 = ((i^4)^10)i = (1^10)i = i

Answer Link

Related Questions

When a Muslim prays five times a day which Pillar of Islam is being observed A Shahada B Salat C Zakat D Sawm
Prompt What can we learn from an important eventWrite a literary analysis that shows what Simone Biles and Peyton Farquahr learned from an important evenin thei
3x5y11 X3y1 Solve by substitution
Describe the steps that resulted in the development of trench warfare
How did the fall line get its name
The salt March was in protest of
5a2 b2 4a2 3b2 a2 7b2
Your circulatory system can best be compared to
Spherically shaped bacteria are known as
Why did JRR Tolkien write The Hobbit and other stories of Middleearth A He wanted to design a complex imaginary world in which he could set a large number of ta