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Evaluate the following: 1i58 - Mathematics and Statistics

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Question

Evaluate the following: `1/("i"^58)`

Sum

Solution

We know that, i2 = – 1, i3 = – i, i4 = 1

`1/("i"^58) = 1/(("i"^4)^14*"i"^2)`

= `1/((1)^14(-1)`

= – 1

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Imaginary Number
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Chapter 3: Complex Numbers - EXERCISE 3.1 [Page 38]

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