Question

write in standard form (1/3+3i)^3

Answer 1

Answer:

$( \frac{1}{3} ) {}^{3} + (3i) {}^{3} + 3 \times \frac{1}{3} \times 3i( \frac{1}{3} + 3i)$

$= \frac{1}{27} - 27i + i + 9 {i}^{2} =$

$\frac{1}{27} - 9 - 26i = - \frac{242}{27} - 26i$