Question

Drag each complex number to the correct location on the image.
Simplify the complex numbers and match them with the correct values.

numbers:
-i^25
i^16
i^17
-i^32
i^9x-i^11
i^23/-i^11

Values
1
-1
i
-i
​

Answer 1

Answers:

In photo below

Explanation:

I got it correct in my test :)

Answer 2

The required match of complex numbers is given by
1 = $[i^{16},]$,  
-1 = $-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}$},
i = ${i^{17}$,
-i = {$-i^{25}$}

Perfect matches of a simplified complex number to be identified.

What is a complex number?

The number that constitutes of real and imaginary numbers are called complex numbers. Standard form of complex number = a + bi

i² = -1 , i³ = -i and  $i^4=1$

1)
$=-i^{25}\\=-(i^{24})*i\\=-i(i^4)^7\\=-i$

2)
$=i^{16}\\=(i^{4})^4\\=1$

3)
$=i^{17}\\=(i^4)^4*i\\=i$

4)
$=-i^{32}\\=-(i^4)^8\\=-1$

5)
$=i^9*(-i^{11})\\=i*(i^4)^2*(-i^8*i^3)\\=i*(-i)\\=i*[(-1)(-i)]\\=i*i\\=-1$

6)
$= i^{23}/-i^{11}\\= -i^12\\=-(i^4)^3\\= -1$

Thus, the required match of complex numbers is given by
1 = $[i^{16},]$,  
-1 = $-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}$},
i = ${i^{17}$,
-i = {$-i^{25}$}

Learn more about complex numbers here:
https://brainly.com/question/28007020

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