" (iii) "(1)/(2-3i)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) (-3+(1)/(2)i)^(3) (iii) (1-i)(3+4i) (iv) (1+i)(1+ 2i)(1+ 3i) (v) (3+5i)/(6-i) (vi) ((2+3i)^(2))/(2+i) (vii) ((1+ i)(2+i))/((3+i)) (viii) (2-i)^(-3)

The square root of z=4-3i is : (i) +-(1)/(2)(3-i)( ii )+-(1)/(sqrt(2))(3-i)( iii) +-(1)/(sqrt(2))(3+i)

The modulus of the complex number (1)/(2-3i) is. . . .

If z = (1)/((2-3i)^(2)) then |z| is equal to

(1-i)(1+2i)(1-3i)=

Find the modulus of the complex number: (1)/(2-3i) .

Express the following in the form of a+ib (1+i)/(2+3i)

Construct a 2xx3 matrix whose elements are given by a_(ij)=(1)/(2)|-3i+j|.

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)