# Imaginary number challenge(2)

Algebra Level 5

$\large \left|\left(\sqrt[2-i]{1+i}\right)^{3+i}\right| = \sqrt a e^{-\pi/b}$

The expression above holds true for positive integers $$a$$ and $$b$$, where $$a$$ is square free.

Find the value of $$63a^{3}b$$.

Notations:

Hint: Euler's Formula is the core of this problem.

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