Simplify: `(2+9i)/(3+2i)`

Simplify : (1+2i)/(1-2i)-(1-2i)/(1+2i)

Simplify : (i)" "(-2i)((1)/(6)i)" "(ii)" "(-i)(3i)((-1)/(6)i)^(3)" "(iii)" "4 sqrt(-4)+5 sqrt(-9)-3 sqrt(-16)

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

Simplify: ((1+i)/(1-i))^(200)

Simplify ( i ) (((1)/(3))^(-2)-((1)/(2))^(-3)}-:((1)/(4))^(-2)*( ii) ((5)/(8))^(-7)xx((8)/(5))^(-5)

Simplify :(i)-(7)/(9)+(3)/(4)

Simplify : (i) 2/3 + 4/5 , (ii) 7/9 + 11/18

Simplify : {:((i),3(6+6i)+i(6+6i),(ii),(1-i)-(-3+6i)),((iii),((1)/(3)-(2)/(3)i)-(4+(3)/(2)i),(iv),{((1)/(5)+(7)/(5)i)-(6+(1)/(5)i)}-((-4)/(5)+i)):}

Simplify: (i) 2^(3)times(-1/2)^(3)times(3/4)^(2)

Simplify: (i) (x+4)^2 (ii) (2x+3)(2x-3)