Updated By SaraNextGen

On March 11, 2024, 11:35 AM

Question 1:

Express the given complex number in the form a + ib:

Answer:

Question 2:

Express the given complex number in the form a + ib: i⁹ + i¹⁹

Answer:

Question 3:

Express the given complex number in the form a + ib: i^–39

Answer:

Question 4:

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)

Answer:

Question 5:

Express the given complex number in the form a + ib: (1 – i) – (–1 + i6)

Answer:

Question 6:

Express the given complex number in the form a + ib:

Answer:

Question 7:

Express the given complex number in the form a + ib:

Answer:

Question 8:

Express the given complex number in the form a + ib:  (1 – i)⁴

Answer:

Question 9:

Express the given complex number in the form a + ib:

Answer:

Question 10:

Express the given complex number in the form a + ib:

Answer:

Question 11:

Find the multiplicative inverse of the complex number 4 – 3i

Answer:

Let z = 4 – 3i

Then,

= 4 + 3i and 

Therefore, the multiplicative inverse of 4 – 3i is given by

Question 12:

Find the multiplicative inverse of the complex number 

Answer:

Let z = 

Therefore, the multiplicative inverse of is given by

Question 13:

Find the multiplicative inverse of the complex number –i

Answer:

Let z = –i

Therefore, the multiplicative inverse of –i is given by

Question 14:

Express the following expression in the form of a + ib.

Answer: