Question

Q1. Compute (3+3i)5.
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Answer 1

Answer:

i = -1

Step-by-step explanation:

5×3 +5×3i

15+15i

15= -15i

i = 15/-15

i= -1

Answer 2

Answer:

Step-by-step explanation:

Here is the exponential form of 3+3i

r = √ (9+9) = 3 √2

tan θ = (3/3)

⇒arg z = (π/4)

3 + 3i = 3√2ei(π/4)

Now, (3 + 3i)5 = (3 √2)5 ei(5π/4)

= 972 √2 (cos(5π/4) + isin (5π/4))

= 972 √2 [(−√2/2)−(√2/2)i]

= − 972 − 972i