Question

найти значение выражения ((1-3i)/(2*5i))^2

Answer 1

$(frac{1-3i}{2cdot5i})^2 = (frac{1-3i}{10i})^2 = frac{1-6i+9i^2}{10^2cdot i^2} = frac{1-6i-9}{-100} = frac{-8}{-100} + frac{6}{100}i = frac{4}{50} + frac{3}{50}i$