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Understanding Powers of i

Understanding Powers of i

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Easy

•
CCSS
HSN.CN.A.2, 4.NBT.B.6

Standards-aligned

Created by

Sophia Harris

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSN.CN.A.2
,
CCSS.4.NBT.B.6
The video tutorial explains how to simplify powers of the imaginary unit i. It starts with basic powers of i, such as i^0, i^1, i^2, and i^3, and then introduces a method to simplify higher powers by expressing them in terms of i^4. The tutorial provides examples, including i^23, i^72, i^37, and i^46, demonstrating the process of dividing the exponent by 4 to find the quotient and remainder, which helps determine the simplified form of the power.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of i raised to the power of 2?

-i

i

-1

1

Tags

CCSS.HSN.CN.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does i^4 simplify?

1

i

-i

-1

Tags

CCSS.HSN.CN.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying i raised to a high power?

Subtract 4 from the exponent

Divide the exponent by 4

Multiply by 4

Add 4 to the exponent

Tags

CCSS.HSN.CN.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the remainder is 1 when dividing the exponent by 4, what does i^n simplify to?

i

1

-i

-1

Tags

CCSS.HSN.CN.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of i^23?

1

-i

i

-1

Tags

CCSS.4.NBT.B.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the remainder when 72 is divided by 4?

2

1

3

0

Tags

CCSS.HSN.CN.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does i^72 simplify to?

-i

-1

i

1

Tags

CCSS.HSN.CN.A.2

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