" thow that "6j^(54)+5i^(37)-2i^(11)+61^(68)=7i

6i^(50) + 5i^(33) - 2i^(15) + 6i^(48) = 7i .

Show that 6i^(50)+5i^(17)-i^(11)+6i^(28) is an imaginary number.

Show that 6i^(50)+5i^(17)-i^(11)+6i^(28) is an imaginary number.

Prove that : 6i^54+5i^37-2i^11+6i^68=7i .

Prove that: (i) 1+i^(2)+i^(4)+i^(6)=0 (ii) 1+i^(10)+i^(100)+i^(1000)=2 (iii) i^(104)+i^(109)+i^(114)+i^(119)=0 (iv) 6i^(54)+5i^(37)-2i^(11)+6i^(68)=7i (v) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580)+i^(578)+i^(576)+i^(574))=-1

What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23), 7, i^(21)]|

Show that ((19- 7i)/(9 + i))^(12) + ((20 - 5i)/(7 - 6i))^(12) is real.

Prove 6i ^50+51 ^41−2i ^19+6i ^60=7i

Find the value of (3+(2)/(i))(i^(6)-i^(7))(1+i^(11))

In the following, perform the indicated operations and write the result in the form x+iy: (i) (7-2i)-(3+2i)+(7+8i) (ii) 3-4i+2i-(8+7i) (iii) (7-2i)-(4+i)+(-3+5i)