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Find the value of ω–105 - Mathematics and Statistics

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Question

Find the value of ω–105

Sum

Solution

ω3 = 1

ω–105 

= (ω3)–35

= (1)–35

= `1/(1)^35`

= 1

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Cube Root of Unity
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Chapter 1: Complex Numbers - Exercise 1.4 [Page 20]

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