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Sebastian simplified the expression -4,212 and got an answer of 4. Organize the

steps into the appropriate order, and state whether Sebastian was correct or incorrect.

Statement Choice

Statement

Since 24 = -1,

Choice A

-

Choice B

then -4.1= -4.

Choice C

Given -4:212

Choice D

then -4.-1= 4.

Since 24 = 1

Choice E

Choice F.

Therefore, Sebastian is

incorrect.

Choice G

Therefore, Sebastian is

correct.


Sagot :

The imaginary unit, i, which represents the square root of -1 raised to power 4 is 1

The organized steps are;

  • Choice E; Since i⁴ = 1
  • Choice B; Then -4·1 = -4
  • Choice F; Therefore, Sebastian is incorrect

Reason:

The given expression Sebastian simplified is; -4·i²¹²

The result Sebastian got = 4

The organized steps are presented as follows;

We have that 212 ÷ 4 = 3

Since i⁴ = 1

Then -4·1 = -4

Therefore, Sebastian is incorrect

The order of the steps are therefore;

Given  -4·i²¹²

Choice E; Since i⁴ = 1

Choice B; Then -4·1 = -4

Choice F; Therefore, Sebastian is incorrect

Learn more about imaginary numbers here:

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