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Fiesta28 [93]
3 years ago
13

Simplify i^41 (please help me)

Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer:

i

Step-by-step explanation:

SOVA2 [1]3 years ago
8 0

Answer:  Choice A) i

====================================================

Explanation:

Let's look at the pattern of powers of i

  • i^0 = 1
  • i^1 = i
  • i^2 = (sqrt(-1))^2 -1
  • i^3 = i*i^2 = i*(-1) = -i
  • i^4 = (i^2)^2 = (-1)^2 = 1

We loop back to 1, and the process starts all over again. The cycle is 4 units long. Ie, the pattern repeats every 4 terms.

What this means is that we can use remainders to quickly figure out something like i^41 without having to use a calculator or tons of paper.

Dividing 41/4 leads to a quotient of 10 and a remainder of 1. We only care about the remainder. The remainder 1 means i^41 = i^1 = i

Note how 41 and 1 lead to the same remainder when we divide by 4.

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Round off 3. 55 to one significant figure
Anika [276]

Answer:

3.6

Step-by-step explanation:

We must first clarify how a number is rounded.

To round a number to unity we have to look at the first number after the comma.

If this number is less than 5 (1, 2, 3, 4) we should not do anything, but if that number is 5 or greater (5, 6, 7, 8, 9) we must add a unit to the number.

That is to say:

<5 do nothing

=> 5 round to the next number (+1)

So in the case of 3.55 it would be.

3.55 = 3.6

8 0
3 years ago
Find the product<br> -8x5y2.6x2y
UNO [17]

Answer:

Answer is given below with explanations

Step-by-step explanation:

- 8x.5 {y}^{2} .6{x}^{2} 2y =  - 48 {x}^{3} .10 {y}^{3}

<em>HAVE A NICE DAY</em><em> </em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

3 0
3 years ago
Read 2 more answers
In Biology class, Ji-yoon is viewing cells with a microscope. Cell F
ryzh [129]

Answer:bananas T^T

Step-by-step explanation:

5 0
3 years ago
Choose the best estimate for the division problem below.<br> 38.064/6.12<br> A. 9<br> B. 4.<br> c. 6
Oliga [24]

Answer:

c.6

Step-by-step explanation:

I would estimate 6.12 to 6 and 38.064 because I know 36 is a common denominator of 6. 36/6=6

Hope this helps.

3 0
3 years ago
If rs =3x + 1, st = 2x- 2 ,and rt = 64,find the value of x
stealth61 [152]
             rs + st = rt     Plug in the values
3x + 1 + 2x - 2 = 64   Combine like terms (1 and -2)
       3x -1 + 2x = 64   Combine like terms (3x and 2x)
            -1 + 5x = 64   Add 1 to both sides
                  5x = 65   Divide both sides by 5
                    x = 13
3 0
3 years ago
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