Multiply, divide, and power complex numbers in polar 'exponential' form

Powers and roots: ((re^jθ )^n=r^n e^jnθ )

Products: (r_1 e^(jθ_1 )∙r_2 e^(jθ_2 )=r_1 r_2 e^(j(θ_1+θ_2)) )

Quotients: ((r_1 e^(jθ_1 ))/(r_2 e^(jθ_2 ) )=r_1/r_2 e^j(θ_1−θ_2 ) )

Q. Evaluate the following:

a) (2e^j3 )^4

b) (0.233e^(−j3) )^(−2)

c) 2e^j3∙5e^j4

d) −13.5e^(−j3)∙2.75e^j5

e) (8e^j5)/(4e^j2 )

f) (5.82e^(−j4))/(9.83e^(−j7) )