Express the following in the form $x+i y$ :
(a) $(1+i)^{-5}$
(b) $(3-2 i) /(1-i)$
(c) $e^{i \pi / 2}+\sqrt{2} e^{i \pi / 4}$
(d) $(1+i) e^{i \pi / 6}$
(e) $\frac{a+i b}{a-i b}-\frac{a-i b}{a+i b}$
(f) $\frac{3+5 i}{7+i}+\frac{1+i}{4+3 i}$
(g) $(2+i)^{2}+(2-i)^{2}$
(h) $\frac{(4+3 i) \sqrt{3+4 i}}{3+i}$
(i) $\frac{\left(a i^{40}-i^{17}\right)}{-1+i},(a-$ real $)$
(j) $(-1+i \sqrt{3})^{60}$
(k) $\frac{\sqrt{1+a^{2}}+i a}{a-i \sqrt{1+a^{2}}},(a-$ real $)$
(l) $\frac{(\sqrt{3}-i)^{2}(1+i)^{5}}{(\sqrt{3}+i)^{4}}$.