Simplify i^12 A. -1 B. -i C. i D. 1

Mathematics

2 answers:

Serjik [45]4 years ago

7 0

Answer:

Step-by-step explanation:

bagirrra123 [75]4 years ago

4 0

Answer:

D. 1.

Step-by-step explanation:

We know that the powers of the imaginary constant, i, follow a certain pattern.

i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.

Every 4 powers, the result cycles back to the original i. This is because there are only 4 unique digits that result from raising i to various powers.

To figure a higher power, such as 12, we need to take the remainder of the power when divided by 4 (the amount of unique answers), to simplify it to the original 4 powers.

So when you have i^12 power, the remainder is 0. This is because 4 is a factor of 12. As a result, we can simplify this to i^8, and therefore i^4, which equals 1.

I hope this helps!

You might be interested in

Find the total surface area of the triangular pyramid

Vlada [557]

The answer is C- 99.5ft :)

5 0

3 years ago

What is the equation<br>

slava [35]

Answer:

B. $(x+1)^2+(y-2)^2=9$

Step-by-step explanation:

The given circle is centered at $(-1,2)$ and has radius 3 units.

The equation is given by

$(x-a)^2+(y-b)^2=r^2$

where (a,b) is the center and r is the radius.

We substitute the values to obtain;

$(x--1)^2+(y-2)^2=3^2$

$(x+1)^2+(y-2)^2=9$

8 0

3 years ago

Read 2 more answers

A music teacher had six recorders but she decided to buy 4 more boxes with 2 in each box. How many recorders does she have now a

riadik2000 [5.3K]

In order to fit only 2 recorders in each box, the teacher will need a total of 12 boxes. She will need 8 more boxes than the amount she currently has.