" 3) Wempliy: (i) "2^((2)/(3))*2^((1)/(5))

1 Simplify: (i) 2^((2)/(3)) times 2^((1)/(5) and ((1)/(3)^(3))^(7)

Simplify and express each of the following in the form (a + ib) : (i)" "((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))" "(ii)" "((1)/(1-4i)-(2)/(1+i))((1-i)/(5+3i))

Perform the indicated operations and write the result in the form x+iy: (i) (-3+2i)+(-6+3i) (ii) ((1)/(2)+(7)/(2)i)-(4+(5)/(2)i) (iii) (1-2i)-i+(4-7i)-2i+(5i+3) .

I:2[((1)/(3))+(1)/(3)((1)/(3))^(3)+(1)/(5)((1)/(3))^(5)+...]=log_(e)2 II:2[((1)/(2))+(1)/(3)((1)/(2))^(3)+(1)/(5)((1)/(2))^(5)+...]=log_(e)2

Convert each of the following in the form of (a + i b) : (i) 3(1+i)-2(2+3i) (ii) (1)/(4-5i) (iii) (1-2i)^(-2) (iv) (2-3i)/(3+5i) (v) [(1)/(1-2i)+(3)/(1+i)][(3+4i)/(2-4i)]

Simplify: (i) {(1/2)^2-(1/4)^3}xx2^3 (ii) {(3^2-2^2)-:(1/5)^2}

(Acitity) Express (1)/(i^(1)) + (2)/( i ^(2)) +(3)/( i ^(3)) + (5)/( i ^(4)) in the form of (a + ib).

Find the modulus of ((3+2i) (1+i) (2+3i))/((3+4i) (4+5i))