Question

Solve this question pls

Answer 1

Answer:

Part (b) - 24

Step-by-step explanation:

Answer 2

Answer:

b) -24

Step-by-step explanation:

Given,

( 3^1/3 + (3^5/6)i)³

= ( 3^2/6 + (3^5/6)i)³

= 3^6/6 ( 1 + (3^3/6)i)³

= 3 ( 1 + i√3)³

= 2³×(3)×( 1/2 + i√3/2)³

= 2³×(3)×( cos60° + isin60°)³

Using de moivre's theorem:

( cosø + isinø)³ = cos3ø + isin3ø

= 2³× 3 × ( cos180° + isin180°)

= 2³× 3× -1

= 8×3×-1

= -24

Hope it helps :)