Question

find the value of i50​

Answer 1

Answer:

-50

Step-by-step explanation:

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Answer 2

Answer:

-1

Step-by-step explanation:

To find ---> Value of i⁵⁰

Solution---> First we discuss about i

i means iota its value is

i = √-1

if we square both sides we get

i² = (√-1 )²

i² = - 1

Now returning to original problem we get

We have to find value of i⁵⁰ . For this we change i⁵⁰ in to i² by using the law of exponent and then putting i²= -1

Now we know that

50 = 25 × 2

and ( aᵐ )ⁿ = aᵐⁿ

i⁵⁰ = ( i² )²⁵

= ( - 1 )²⁵

If exponent of (-1) is even nymber than its value is equal to (-1) and if exponent of (-1) is even then it is equal to (+1) so

i⁵⁰ = - 1