Question

Which of the following is equivalent to the complex number shown below?

A. 11

B. -11

C. 11i

D. -11i

Answer 1

D should be the correct answer

$i = \sqrt{ - 1} \\ {i}^{2} = - 1 \\ {i}^{3} = - \sqrt{ - 1} \\ {i}^{4} = 1 \\ {i}^{8} = 1 \\ {i}^{11} = {i}^{8} \times {i}^{3} = 1 \times - \sqrt{ - 1} = - i$

Answer 2

Answer:

Option D is the correct option.

Step-by-step explanation:

The given expression is $11i^{11}$

Since i = √(-1)

Therefore, i² = -1

$(i^{2})^{5}=(-1)^{5}$

$i^{10}=(-1)$

$i^{10}\times i=(-1)i$

$i^{10+1}=(-i)$

$i^{11}=(-i)$

Now we multiply the expression by 11

then, $11i^{11}=(-11i)$

Option D is the correct option.