Simplify the expression

Question

-5+i/2i

-5+i over 2i

Answer 1

i-5/2i
what i see nah

Answer 2

(-5+i)/2i = -5/(2i) + 1/2

Now, 1/i = -i, since i^2 = -1

Thus we end up with

1/2 + 5/2 i
or (1+5i)/2

Answer 3

just learn something god bless u sir

Answer 4

It all comes with experience. You might just note that the powers of i cycle in periods of 4:

i^-4 = 1
i^-3 = 1/i^3 = 1/-i = i
i^-2 = 1/i^2 = -1
i^-1 = 1/i = -i

i^0 = 1
i^1 = i
i^1 = -1
i^3 = -i

i^4 = 1
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