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Answer the following: Simplify: (i65+1i145)

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प्रश्न

Answer the following:

Simplify: `("i"^65 + 1/"i"^145)`

बेरीज
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उत्तर

`("i"^65 + 1/"i"^145)`

= `|("i"^4)^16*"i" + 1/(("i"^4)^36*"i")|`

= `"i" + 1/"i"`

= `("i"^2 + 1)/"i"`

= `(-1 + 1)/"i"`

= 0

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
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. (16) (ii) | पृष्ठ २२

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