Respuesta :

sama0gh19

Answer:

.......the answer is -1

VectorFundament120

Explanation

  • Define of Imaginary Number

[tex] \sqrt{ - 1} = i[/tex]

  • Find the value of i³

[tex] {i}^{3} = ( \sqrt{ - 1} )( \sqrt{ - 1} )( \sqrt{ - 1} )[/tex]

Because it is also defined that i² = -1. Therefore

[tex] {i}^{2} = - 1 \\ {i}^{3} = - 1 \sqrt{ - 1} [/tex]

We don't usually write 1 or -1. Simplify

[tex] {i}^{3} = - i[/tex]

Make sure to convert or simplify any negative numbers in square root in simplest form or with "i".

Answer

[tex] {i}^{3} = - i[/tex]