No imagination required!

Algebra Level 1

What is i 52 i^{52} ?


The answer is 1.

Swapnil Das by Swapnil Das , 20, India

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4 solutions

Aditya Kumar
Jun 2, 2015

i 52 i^{52} = i 4 × 13 {i^{4×13}} =1

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Yeah , simple and very basic question.

Nihar Mahajan - 6 years ago

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Yaa, might be new for 9th std guys like sd

Aditya Kumar - 6 years ago

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I learnt it is class 7!

Swapnil Das - 6 years ago

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@Swapnil Das – Amazing! :)

Aditya Kumar - 6 years ago

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@Aditya Kumar – Haha,thanks!

Swapnil Das - 6 years ago

Ya, that's why no imagination required!

Swapnil Das - 6 years ago

i ^ (52 mod 4) = i ^ 0 = 1

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i 52 = i 2 × 26 = ( − 1 ) 26 = 1 i^{52} = i^{2\times26}=(-1)^{26}=1

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Adriancito Duran
Jul 13, 2015

1=i 1 x 1 x 1 otras 49 veces =1

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