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Evaluate the Following: \[\Frac{1}{I^{58}}\]

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प्रश्न

Evaluate the following:

 \[\frac{1}{i^{58}}\]

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उत्तर

`1/i^58 = 1 /(i^(4 xx 14 +2)`
\[ = \frac{1}{\left( i^4 \right)^{14} \times i^2}\]
\[ = \frac{1}{i^2} \left( \because i^4 = 1 \right)\]
\[ = - 1 \left( \because i^2 = - 1 \right)\]

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अध्याय 13: Complex Numbers - Exercise 13.1 [पृष्ठ ३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 13 Complex Numbers
Exercise 13.1 | Q 1.3 | पृष्ठ ३

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