Express (3 - 5i)^(3) in the form (a + ib).

Simplify and express each of the following in the form (a + ib) : {:((i),(2 + sqrt(-3))^(2),(ii),(5-2i)^(2),(iii),(-3+5i)^(3)),((iv),(-2-(1)/(3)i)^(3),(v),(4-3i)^(-1),(vi),(-2+sqrt(-3))^(-1)),((vii),(2+i)^(-2),(viii),(1+2i)^(-3),(ix),(1+i)^(3)-(1-i)^(3)):}

Convert the following in polar form, (iv) (5-i)/(2-3i)

How many of the following compounds have sp^(3) hybridisation (i) SO_(4)^(2-) (ii) SO_(5)^(2-) (iii) PO_(4)^(3-) (iv) PO_(5)^(3-) (v) I_(3)^(Theta) (iv) CO_(3)^(2-) (vii) CO_(4)^(2-) .

Express each of the following in the form (a + ib) : {:((i),(1)/((4+3i)),(ii),((3+4i))/((4-5i)),(iii),((5+sqrt(2)i))/((1-sqrt(2)i))),((iv),((-2+5i))/((3-6i)),(v),((3-4i))/((4-2i)(1+i)),(vi),((2-2i)(2+3i))/((1+2i)(2-i))),((vii),((2+3i))/((2-i)),(viii),((1-i)^(3))/((1-i^(3))),(ix),((1+2i)^(3))/((1+i)(2-i))):}

Express the following in the form of a+ib (2+3i)/(5-4i)+(2-3i)/(5+4i)

The conjugate of (3-2i)(2+3i) is a)12+5i b)-12+5i c) -12 -5i d) 12-5i

What is the value of (2-3i) +(3+5i)

Simplify the following: (5i)(-(3)/(5)i)

Findthe principal value of the arguments of z_(1)=2+2i,z_(2)=-3+3i,z^(3)=-4-4iand z_(4)=5-5i,where i=sqrt(-1).