What is the value of i 38 i^{38} i 3 8 ?

− 1 \sqrt{-1} − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− − 1 -\sqrt{-1} − − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

What is the value of i 100 i^{100} i 1 0 0 ?

− 1 \sqrt{-1} − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− − 1 -\sqrt{-1} − − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

Find the equivalent expression ( 7 + 9 i ) + ( 3 − 4 i ) \left(7+9i\right)+\left(3-4i\right)_{ } ( 7 + 9 i ) + ( 3 − 4 i ) in a+bi form

5 i ( 1 − 2 i ) 5i\left(1-2i\right) 5 i ( 1 − 2 i )

− 5 i ( 1 + 2 i ) -5i\left(1+2i\right) − 5 i ( 1 + 2 i )

− 10 + 5 i -10+5i − 1 0 + 5 i

Find the equivalent expression 2 i ( 3 + 4 i ) 2i\left(3+4i\right)_{ } 2 i ( 3 + 4 i ) in a+bi form

( 1 + 2 i ) − ( 9 − 4 i ) \left(1+2i\right)-\left(9-4i\right) ( 1 + 2 i ) − ( 9 − 4 i )

( 1 − 2 i ) + ( 9 + 4 i ) \left(1-2i\right)+\left(9+4i\right) ( 1 − 2 i ) + ( 9 + 4 i )

Select all expressions that are equivalent to 8 + 16 i 8+16i 8 + 1 6 i

2 ( 4 + 8 i ) 2\left(4+8i\right) 2 ( 4 + 8 i )

2 i ( 8 − 4 i ) 2i\left(8-4i\right) 2 i ( 8 − 4 i )

4 i ( 4 − 2 i ) 4i\left(4-2i\right) 4 i ( 4 − 2 i )

4 ( 2 i − 4 ) 4\left(2i-4\right) 4 ( 2 i − 4 )

− 2 i ( − 8 − 4 i ) -2i\left(-8-4i\right) − 2 i ( − 8 − 4 i )

Which expression is equivalent to ( − 4 + 3 i ) ( 2 − 7 i ) \left(-4+3i\right)\left(2-7i\right) ( − 4 + 3 i ) ( 2 − 7 i ) ?

− 29 − 22 i -29-22i − 2 9 − 2 2 i

− 29 + 34 i -29+34i − 2 9 + 3 4 i

13 − 22 i 13-22i 1 3 − 2 2 i

More Arithmetic with Complex Numbers Quiz

24 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Select 2

Correct

Incorrect

I substituted in the answer and it worked.

I substituted in the answer and it did NOT work.

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the correct expression in the form a+bi, where a and b are real numbers.

12-i

12-4i

12+i

12+4i

Tags

CCSS.HSN.CN.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the correct expression in the form a+bi, where a and b are real numbers.

12+4i

28

12+0i

12-4i

Tags

CCSS.HSN.CN.A.2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the correct expression in the form a+bi, where a and b are real numbers.

i+13

13i+1

1+13i

13+i

Tags

CCSS.HSN.CN.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the correct expression in the form a+bi, where a and b are real numbers.

-5+3i

5-3i

-5-3i

5+3i

Tags

CCSS.HSN.CN.A.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the correct expression in the form a+bi, where a and b are real numbers.

14

14i

-14i

-14

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Which one doesn't belong?

$i^2$

$\left(1+i\right)+\left(1-i\right)$

$\left(1+i\right)^2$

$\left(1+i\right)\left(1-i\right)$

Tags

CCSS.HSN.CN.C.8

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the value of $i^0$ ?

$\sqrt{-1}$

$-1$

$1$

$-\sqrt{-1}$

Tags

CCSS.HSN.CN.A.1

9.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the value of $i^1$ ?

$\sqrt{-1}$

$-1$

$1$

$-\sqrt{-1}$

Tags

CCSS.HSN.CN.A.1

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the value of $i^2$ ?

$\sqrt{-1}$

$-1$

$1$

$-\sqrt{-1}$

Tags

CCSS.HSN.CN.A.1

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Clase 2- Resolución de operaciones combinadas y problemas mat.

Quiz

•

6th - 10th Grade

20 questions

LỚP 5_BÀI KIỂM TRA ĐỊNH KỲ THÁNG 2

Quiz

•

1st - 11th Grade

20 questions

trigonometri

Quiz

•

9th - 12th Grade

19 questions

ميل المستقيمات المتعامدة والمتوازية

Quiz

•

8th - 10th Grade

20 questions

Math Bangun Ruang

Quiz

•

9th - 12th Grade

20 questions

PAT X MATEMATIKA UMUM

Quiz

•

10th Grade

20 questions

UJIAN REMIDIAL UAS MATEMATIKA KELAS X

Quiz

•

10th Grade

20 questions

PTS MATEMATIKA KELAS XI SEM GENAP

Quiz

•

11th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

10 questions

Simplifying Expressions by Combining Like Terms

Interactive video

•

6th - 10th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

More Arithmetic with Complex Numbers

Select 2

Find the correct expression in the form a+bi, where a and b are real numbers.

Find the correct expression in the form a+bi, where a and b are real numbers.

Find the correct expression in the form a+bi, where a and b are real numbers.

Find the correct expression in the form a+bi, where a and b are real numbers.

Find the correct expression in the form a+bi, where a and b are real numbers.

Which one doesn't belong?

What is the value of i0i^0i0 ?

What is the value of i1i^1i1 ?

What is the value of i2i^2i2 ?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the value of $i^0$ ?

What is the value of $i^1$ ?

What is the value of $i^2$ ?