1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
12

What is the value of i^n if the remainder of n/4 is 2?

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer: 1

Step-by-step explanation:

we are to find the value of i^n if the remainder of n/2 =4

First, we need to find what n is.

To find n;

n/4 = 2

we simply multiply bothside of the equation by four

n/2 ×4 = 2 ×4

n = 8

Next is for us to know what i stand for.

i usually show the imaginary part if a complex number.

In Mathematics, i = √(-1)

which implies i² ⁼ √(-1) ×√(-1) = - 1

Now back to our question,

iⁿ = i⁸ (since n=8)

Now ,

i⁸ = i² × i² × i² × i²

= -1 × -1 × -1 ×-1 (remember i²=-1)

=1

Therefore, iⁿ is 1 if the remainder of n/4 is 2

nydimaria [60]3 years ago
7 0

Answer:

C and D

Step-by-step explanation:

i=√-1

n/4=x.5

since 2 is the remainder

n=2x

then i^n=i^2x

when x is even, i^n =1

when x is odd, i^n=-1

You might be interested in
PLEASE HURRY IF YOU ANSWER AND IT'S RIGHT YOU GET BRAINLYEST
mezya [45]
The answer is 130cm
5 0
3 years ago
Read 2 more answers
What is an obtuse angle?
natali 33 [55]
An obtuse angle is an angle that is in between 90 degrees and 180 degrees. It looks like this 

5 0
3 years ago
Express in scientific information notation 417.8
bogdanovich [222]

Answer:

4.178×10 to the second power

Step-by-step explanation:

Move the decimal twice to the Left

5 0
3 years ago
Read 2 more answers
Find The Difference [Will Give Brainliest If Correct]
RUDIKE [14]

Answer:

30, 10, -10

Step-by-step explanation:

Subtract each number below from the number above.

60 - 30 = 30

50 - 40 = 10

40 - 50 = -10

7 0
3 years ago
Sarah went on a run. On her run she found 6 rocks. When she was going back home she found 7 more rocks. When she got home she re
Alexxx [7]

Answer:

11

Step-by-step explanation:

first you add 6 + 7 = 13

then you 13 - 2 which gives you eleven!

7 0
3 years ago
Other questions:
  • The sum of a number and eight is zero
    13·1 answer
  • Suppose we want to write 2/5
    11·2 answers
  • Find the LCM of the numbers using prime factorizations<br> 6,12,14
    7·2 answers
  • Question 1: Marty wants to plant grass in a rectangular section of his backyard. The section where he wants grass measures 6.62
    8·1 answer
  • Liz has 2 blue, 1 red and 1 white dress(es) and 3 pairs of shoes colored blue, red and white. If she decides at random what to w
    13·2 answers
  • A spool of rope contains 65 yards of rope. How many​ 4-foot pieces of rope can be cut from the​ spool? How much rope is left​ ov
    9·1 answer
  • Please solve this question?​
    14·1 answer
  • Help please, I'm stuck ​
    13·2 answers
  • This is overdue and I can’t figure it out. Plz help
    5·1 answer
  • I will give you a brainliest if you answer this question 16
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!