Question

If i= } " align="absmiddle" class="latex-formula">
what is the value of
${i}^{3}$
​

Answer 1

Explanation

• Define of Imaginary Number

$\sqrt{ - 1} = i$

• Find the value of i³

${i}^{3} = ( \sqrt{ - 1} )( \sqrt{ - 1} )( \sqrt{ - 1} )$

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

${i}^{2} = - 1 \\ {i}^{3} = - 1 \sqrt{ - 1}$

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

${i}^{3} = - i$

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

Answer

${i}^{3} = - i$

Answer 2

Answer:

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