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

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

Simplify: i log((x-i)/(x+i))

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

Simplify : ( i ) (125)^(-(1)/(3))( ii) (256/81)^(^^)(1/4)

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

Simplify: [(1+ (sin pi) / (8) + i (cos pi) / (8)) / (1+ (sin pi) / (8) -i (cos pi) / (8))] ^ ((1) / (2))

Simplify :- (i) (10)/(4) (ii) (200)/(50) (iii) (27)/(24) (iv) (55)/(22) (v) (64)/(16) (vi) (8)/(6)

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) (3^(4))^((1)/(2)) (ii) (64)^((1)/(6)) (iii) ((1)/(3^(4)))^((1)/(2))

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