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Simplify I^41. this needs to be answered asap

User Ritika
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7 votes
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
User Rbrundritt
by
8.3k points

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