Question

6.
Write each expression in the form a + bi, where a and b are real numbers.

Answer 1

Answer:

Step-by-step explanation:

We have to know that this pattern keeps repeating with imaginary numbers

i^1 = i

i^2 = -1

i^3 = -i

i^4 = 1

a. 5i² = 5* (-1) = -5

In format a+bi is -5 + 0i

b. i² *i² = (-1)*(-1) = 1

In format a+bi is 1 + 0i

c. (-3i)² = (-3)² *i² = 9* (-1) = -9

In format a+bi is -9 + 0i

d. 7*4i = 28i

In format a+bi is 0 + 28i

e. (5 +4i) - (-3 +2i) , distribute the negative in parenthesis

= 5+ 4i -3 -2i , combine like terms

= 2 +2i this is in a+bi form