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

•

Mathematics

•

10th - 11th Grade

•

Practice Problem

•

Medium

•

CCSS

HSN.CN.A.2, HSN.CN.C.8, HSN.CN.A.1

+1

Standards-aligned

K Peterson

Used 15+ times

FREE Resource

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

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More Arithmetic with Complex Numbers

24 questions

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 $i^0$ ?

What is the value of $i^1$ ?

What is the value of $i^2$ ?

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Discover more resources for Mathematics

More Arithmetic with Complex Numbers

24 questions

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 ?

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What is the value of $i^0$ ?

What is the value of $i^1$ ?

What is the value of $i^2$ ?