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Question

Mathematics Question on complex numbers

The value of [5i(1−i)(2−i)(3−i)]50\left[ \frac{5i}{(1-i)(2-i)(3-i)} \right]^{50}is equal to

A

(12)25(\frac{1}{2})^{25}

B

(12)50(\frac{1}{2})^{50}

C

(−12)25(-\frac{1}{2})^{25}

D

(−12)50(-\frac{1}{2})^{50}

E

(110)50(\frac{1}{10})^{50}

Answer

(12)50(\frac{1}{2})^{50}

Explanation

Solution

The correct option is (B) : (12)50(\frac{1}{2})^{50}