Tính các lũy thừa sau: a) (3 – 4i)^2;

* Hướng dẫn giải

a) ${(3-4i)}^2$ = $3^2$ − 2.3.4i + ${\left(4i\right)}^2$ = −7 − 24i

b) ${(2+3i)}^3$ = $2^3$ + 3.$2^2$.3i + 3.2.${\left(3i\right)}^2$ + ${\left(3i\right)}^3$ = −46 + 9i

c) ${\left[\right(4 + 5i) – (4 +3i\left)\right]}^5$ = ${\left(2i\right)}^5$ = 32i

d) ${(\sqrt{2}-i\sqrt{3})}^2$ = −1 − 2i$\sqrt{6}$