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CBSE Class 11-science Answered

what is the power of i
 
Asked by aadeshpdabre | 17 Feb, 2016, 08:06: PM
answered-by-expert Expert Answer
begin mathsize 11px style straight i space in space complex space numbers space is space the space square space root space of space minus 1 straight i equals square root of negative 1 end root straight i squared equals negative 1 straight i cubed equals straight i. straight i squared equals straight i. open parentheses negative 1 close parentheses equals negative straight i straight i to the power of 4 equals straight i squared. straight i squared equals negative 1 cross times negative 1 equals 1 straight i to the power of 5 equals straight i to the power of 4. straight i equals 1 cross times straight i equals straight i straight i to the power of 6 equals straight i to the power of 5. straight i equals straight i. straight i equals straight i squared equals negative 1 straight i to the power of 7 equals straight i to the power of 6. straight i equals negative 1 cross times straight i equals negative straight i straight i to the power of 8 equals straight i to the power of 7. straight i equals negative straight i. straight i equals negative straight i squared equals negative open parentheses negative 1 close parentheses equals 1 As space we space can space notice comma space a space pattern space is space followed space for space powers space of space apostrophe straight i apostrophe colon open parentheses space straight i comma space minus 1 comma space minus straight i space comma space 1 close parentheses In space general comma space we space can space say space straight i to the power of 4 straight n plus 1 end exponent equals straight i straight i to the power of 4 straight n plus 2 end exponent equals negative 1 straight i to the power of 4 straight n plus 3 end exponent equals negative straight i straight i to the power of 4 straight n end exponent equals 1 end style
Answered by satyajit samal | 18 Feb, 2016, 03:09: PM

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CBSE 11-science - Maths
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CBSE 11-science - Maths
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