Simple But Complex!

Algebra Level 2

Which of the following is true (possible)?

A -> A real number to the power another real number can be complex (imaginary).

B -> A non-zero complex number to the power another (non-zero) complex number can be real.

A Neither A nor B Both A and B B

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1 solution

Azeez Daoud
Apr 26, 2018

Example for A: 1 0.5 = 1 = i -1^{0.5}=\sqrt{-1}=i

Example for B: i i 0.207... i^{i}\approx0.207... ( Explanation )

Where i i is the imaginary unit ( 1 \sqrt{-1} )

Thus both A and B are correct!

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