Question

Find the real and imaginary part of 7i - 11i⁶​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Real part is 11 and imaginary part is 7.

Step-by-step-explanation:

The given complex number is 7i - 11i⁶.

We have to find the real and imaginary part of the complex number.

Now, we know that,

A complex number is of the form a + ib; where a, b are real numbers and i is imaginary unit ( i² = - 1 ).

7i - 11i⁶

⇒ 7i - 11 * i² * i⁴ - - - [ a⁽ᵐ ⁺ ⁿ⁾ = aᵐ * aⁿ ]

⇒ 7i - 11 * ( - 1 ) * i⁴

⇒ 7i + 11 * i⁴

⇒ 7i + 11 * i² * i²

⇒ 7i + 11 * ( - 1 ) * ( - 1 )

⇒ 7i + 11 * 1

⇒ 7i + 11

⇒ 11 + 7i

By comparing with a + bi, we get,

a = 11

b = 7

∴ Real part is 11 and imaginary part is 7.