[1^(19)+(-(1)/(1))^(25)]^(2)

Evaluate: [i^(19)+((1)/(i))^(25)]^(2)

Simplify the following : (i) [i^(19) +(1)/(i^(25))]^(2) (ii) [i^(5)- (1)/(i^(3))]^(4)

Simplify the following : (i) [i^(19) +(1)/(i^(25))]^(2) (ii) [i^(5)- (1)/(i^(3))]^(4)

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

The value of cot sum_(n=1)^(19)(cot^(-1)(1+sum_(p=1)^(n)2p)) is equal to ( a )(21)/(19) (b) (19)/(21)(c)-(19)/(21) (d) -(21)/(19)

The value of (((3)/(5))^(3)-((2)/(5))^(3))/(((3)/(5))^(2)-((2)/(5))^(2)) is (1)/(5)(b)(19)/(25) (c) (21)/(25)(d)1

(1)/(1xx2)""^(25)C_(0)+(1)/(2xx3)""^(25)C_(1)+(1)/(3xx4)""^(25)C_(2)+…+(1)/(26xx27)""^(25)C_(25) is -

If (x)/(2y)=(6)/(7), the value of (x-y)/(x+y)+(14)/(19) is(a) (13)/(19)(b)(15)/(19)(c)1(d)1(1)/(19)

What is the value of the following expression? (1)/((2^(2)-1))+(1)/((4^(2)-1))+(1)/((6^(2)-1))+backslash+(1)/((20^(2)-1))(9)/(19) (b) (10)/(19)(c)(10)/(21) (d) (11)/(21)