[i^(23)+((1)/(i))^(29)]^(2)

Express each of the following complex number in the form a+ib: i^(29)+((1)/(i))^(50)

Evaluate : (i) i^(23)" "(ii) i^(998)" "(iii)i^(-998)" "(iv) i^(-71) (v) (sqrt(-1))^(91)" "(vi) (i^(37)xx i^(-61))" "(vii) i^(-1)

Find the transpose of each of the following matrices: (i)[(5),((1)/(2)),(-1)] (ii) [(1,-1),(2,3)] (iii) [(-1,5,6),(sqrt(3),5,6),(2,3,-1)]

Find the transpose of each of the following matrices: (i)[(5),((1)/(2)),(-1)] (ii) [(1,-1),(2,3)] (iii) [(-1,5,6),(sqrt(3),5,6),(2,3,-1)]

(i) Find the value of the determinant |[2,3],[(1)/(2),-(1)/(2)]| .

Find the remainder when (17)^(23) + (29)^(23) is divided by 23.

Evaluate the followings : (i) i^(23) (ii) i^(-97)

Evaluate the followings : (i) i^(23) (ii) i^(-97)

( 17^(23) +29^(23))/(23) Find R