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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following: Evaluate: (1 − i + i2)−15

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प्रश्न

Answer the following:

Evaluate: (1 − i + i2)−15 

बेरीज
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उत्तर

(1 − i + i2)−15 = (1 − i − 1)−15

= (− i)−15

= `1/(-"i")^15`

= `(-1)/(("i"^4)^3*"i"^3)`

= `(-1)/((1)^3(-"i"))`

= `1/"i"`

= `"i"/"i"^2`

= `"i"/(-1)`

= − i

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पाठ 1: Complex Numbers - Miscellaneous Exercise 1.2 [पृष्ठ २२]

APPEARS IN

बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 1 Complex Numbers
Miscellaneous Exercise 1.2 | Q II. (3) (i) | पृष्ठ २२

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