Question

Simplify I^41. this needs to be answered asap

Answer 1

ANSWER


`{i}^(41)=i`

Step-by-step explanation

We want to simplify,


`{i}^(41)`

We rewrite the exponent to get,


`{i}^(40 + 1)`

We apply the laws of indices to get,


`{i}^(40) * {i}^(1)`

We apply the laws of indices again to get,


`( {i}^(2) )^(20) * i`

Recall that,


`{i}^(2) = - 1`


`= ( - 1)^(20) * i`

The exponent is even so we obtain a positive result

`= 1* i`
This gives us,

`= i`