Please show me the steps to solving this problem,
thank you
i = (-1)^1/2
replace above into equation
=(-1)^1/2*19*9*8
=(-1)^684
=1
so i^2 = -1 , i^3= -i, i^4 = 1 ...hope u understood how they wer derived from i = sqrt(-1)..one aftr the other...
now i^19 = i^16 * i^3 = (i^4)^4 * (-i)= -i
so ((-i)^9)^8=(i^9)^8= i^ 8 = 1
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Verified answer
i = (-1)^1/2
replace above into equation
=(-1)^1/2*19*9*8
=(-1)^684
=1
so i^2 = -1 , i^3= -i, i^4 = 1 ...hope u understood how they wer derived from i = sqrt(-1)..one aftr the other...
now i^19 = i^16 * i^3 = (i^4)^4 * (-i)= -i
so ((-i)^9)^8=(i^9)^8= i^ 8 = 1