3. Evaluate the following:
(i¹⁹+(1/i)²⁵)²
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(i¹⁹+(1/i)²⁵)²
=(i¹⁹+1/(i)²⁵)²
=( (i⁴)⁴.i³+1/(i⁴)⁶.i )²
=( -i +1/i )² ( * ( a+b )² = a² + b² + 2ab)
=(-i)²+(1/i)²+2×(-i)×(1/i)
= -1 + 1/i² -2
= -1+( 1/-1) -2
= -1 -1 -2
= -4
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