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ValentinkaMS [17]
3 years ago
6

Value of complex number i^7+1/i^4​

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2  \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1

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