rnndddomscho rnndddomscho
  • 25-02-2022
  • Mathematics
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Are these problems real or imaginary?

Are these problems real or imaginary class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 25-02-2022

Step-by-step explanation:

when the exponent is an even number, the value is -1 and real.

when the exponent is uneven (odd), then the result is i and therefore imaginary.

i¹⁴ real

i⁴³ imaginary

i⁷ imaginary

i¹⁰ real

(4 - 5i)² = 4² - 40i + 25i² = 16 - 40i - 25 = -9 -40i imaginary

(7 + 2i)(7 - 2i) = 49 - 4i² = 49 + 4 = 53 real

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