Math, asked by salvogg2650, 20 days ago

The value of i300
pls

Answers

Answered by samarpannu50
1
I 300 is the answer . Now mark me as brainlist
Answered by amitnrw
1

Value of i³⁰⁰  is 1

Given:

  • i³⁰⁰

To Find:

  • Value

Solution:

  • i called iota
  • i is square root of -1
  • i = √(-1)
  • i² = -1
  • i³ = -i
  • i⁴ = 1
  • (xᵃ)ᵇ= xᵃᵇ
  • 1ⁿ = 1

Step 1:

Rewrite 300 as  4 x 75

i^{300}=i^{4\times 75}

Step 2:

Use (xᵃ)ᵇ= xᵃᵇ

i^{300}=(i^4)^{75}

Step 3:

Substitute i⁴ = 1

i^{300}=(1)^{75}

Step 4:

Use 1ⁿ = 1

i^{300}=1

Hence Value of i³⁰⁰  is 1

(Although your Question is not properly written however it should be value of i³⁰⁰ is )

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