Math, asked by vashu59, 1 year ago

silmplify the following (-i)^14

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Answered by iHelper

2

Hello!

$\sf i^{-14} = \sf i^{2(-7)}$

$\sf i^{-14} = \sqrt{-1} × \sqrt{-1}$

Then,

$\boxed{\sf i^{-14} = - 1}$

Cheers!

vashu59: can u Please elaborate

iHelper: There is already enough elaboration dear! :)

iHelper: We know i² = - 1.. Then multiple of 2 will also be equal to - 1 i.e. i ² ˣ ⁻⁷ = - 1

vashu59: okay got it thanks

iHelper: You're welcome!

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