Prove that  open square brackets open parentheses i close parentheses to the power of 37 plus 1 over open parentheses i close parentheses to the power of 37 close square brackets squared equals 0

Asked by Topperlearning User | 8th Aug, 2014, 10:54: AM

Expert Answer:

L H S equals space open square brackets open parentheses i close parentheses to the power of 37 plus 1 over open parentheses i close parentheses to the power of 37 close square brackets squared
w e space k n o w space t h a t space open parentheses i close parentheses to the power of 37 equals open parentheses i close parentheses to the power of 36 cross times i equals open parentheses i to the power of 4 close parentheses to the power of 9 cross times i equals i space space space open parentheses because i to the power of 4 equals 1 close parentheses
space open square brackets open parentheses i close parentheses to the power of 37 plus 1 over open parentheses i close parentheses to the power of 37 close square brackets squared equals open square brackets i plus 1 over i close square brackets squared
equals open square brackets i plus i over i squared close square brackets squared
equals open square brackets i minus i close square brackets squared
equals 0
equals R H S

Answered by  | 8th Aug, 2014, 12:54: PM