Question

Help please on this

Answer 1

is that \(\large i^{19}\)?

Answer 2

if so the answer is \(-i\)

Answer 3

4 goes in to 19 4 times with a remainder of 3, so \(i^{19}=i^3=-i\)

Answer 4

i can't read 12

Answer 5

Hey

Answer 6

I'm back

Answer 7

@satellite73

Answer 8

10 is i^19
11 is I^97

Answer 9

@satellite73

Answer 10

@Nnesha

Answer 11

4 steps and then after i^4 it repeats the same pattern again
i=i^5
i^2=i^6
to find the value of i to the larger number you just have to find the remainder of \[\large\rm \frac{ whatever~power }{ 4 } = i^{remainder}\]

Answer 12

\\[i^2=\sqrt{-1} \cdot \sqrt{-1} = -1\]\[i^3=\color{red}{i^2} \cdot i = \color{Red}{(-1)} i =-i\]\[i^4 = i^2 \cdot i^2 = (-1)(-1)=1\]

Answer 13

\

Answer 14

Okay so 10 would be?

Answer 15

hmm latex doesn't work for i =i= sqrt{-1} **

Answer 16

divide 10 by 4 (
how many times doe 4 go into 10 what will be the remainder ?

Answer 17

2.5

Answer 18

4 times 1=4
4 times 2=8
4 times 3=12 (12 is bigger than 10) so we don't add this)
4 times 2=8 (4 goes into 10 2 times )
and the remainder will be 10-8=2
therefore we got i^2 which is ?

Answer 19

what you wrote above right?

Answer 20

like what you wrote for I^2

Answer 21

can we please hurry I have 10 mins

Answer 22

any doubt ?

Answer 23

NO doubt but is that the answer for 10?

Answer 24

to find i^10
divide 10/4
and then set i^(remainder) and then simplify
remainder is 2 so i^2
now simplify

Answer 25

so I ^19 would be

Answer 26

no no we have to find I^19

Answer 27

okay... do the same thing..

Answer 28

So um divide right

Answer 29

yes

Answer 30

19 by 4?

Answer 31

yes right
because its a 4 steps cycle i've posted above

Answer 32

I got 4.75

Answer 33

oky so what is the remainder

Answer 34

.75?

Answer 35

no calculator will not give you the remainder
19/4= 4.75 the number before decimal represent how many times 4 goes into 19
what's what is 4 times 4 = ??
subtract that from the power(19) that will be the remainder

Answer 36

4*4 is 16

Answer 37

19-16=3

Answer 38

yes right so what will be the answer ?

Answer 39

I^3

Answer 40

yes right what i^3 equal to what ?

Answer 41

what you have written above right?

Answer 42

yes

Answer 43

Is that the final answer then

Answer 44

yes

Answer 45

okay what about I^97

Answer 46

same thing

Answer 47

Okay so 97/4

Answer 48

yes

Answer 49

which is 24.25

Answer 50

so 97-16?

Answer 51

what is 16 ??

Answer 52

isn't it 4*4

Answer 53

[24].25
all the numbers before decimal

Answer 54

ohh so 97-24?

Answer 55

hmm no multiply that by 4

Answer 56

96

Answer 57

so I^1

Answer 58

yes.

Answer 59

is it the power of -1?

Answer 60

i^1 is same as i

Answer 61

so that would be?

Answer 62

I just need help with 2 more questions if you don't mind :/

Answer 63

depends on the question is it same as this >

Answer 64

Okay did that and then

Answer 65

fast please meri behn

Answer 66

-15?

Answer 67

now add the number in the column

Answer 68

-16

Answer 69

hmm wait 1 is not negative

Answer 70

-14?

Answer 71

now repeat the same steps
multiply -14 by -3 and write that above the line in 3rd column

Answer 72

42

Answer 73

yep

Answer 74

is that the x ?

Answer 75

yes

Answer 76

Okay next problem =)

Answer 77

SO number 15 is x=42 right?

Answer 78

yes

Answer 79

OKay next problem

Answer 80

its the same thing just backwards
remember we multiplied *some numbers * with first number in order to find the number for second column

Answer 81

*some number ***

Answer 82

So 20?

Answer 83

that's how for the first question there is -3

Answer 84

what's 20 ?

Answer 85

Oh -3?

Answer 86

yes but remember that's an example
like for #15 how would we find
this number if it wasn't given

Answer 87

now do the same thing for #16

Answer 88

4/2

Answer 89

yes.

Answer 90

So x would equal 2?

Answer 91

yes

Answer 92

Thank you so much that is all

Answer 93

yw

Answer 94

If this question has been answered, please close it. Thank you! :)

Answer 95

@zarkam21