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Simplify the following and express in the form a + ib: (2i3)2 - Mathematics and Statistics

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Question

Simplify the following and express in the form a + ib: 

(2i3)2 

Sum
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Solution

(2i3)2 = 4i6
= 4(i2)3
= 4(– 1)3        ...[∵ i2 = – 1]
= – 4
= – 4 + 0i

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Chapter 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [Page 42]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
Chapter 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 3) ii) | Page 42

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