Question

What is the value of i³ in mathematics

Answer 1

i³ = - i

Given :

The expression i³

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is i³

Step 2 of 2 :

Find the value of the expression

We know i denotes complex number with the property i² = - 1

Thus we get

$\displaystyle \sf{ {i}^{3} }$

$\displaystyle \sf{ = {i}^{2} \times i }$

$\displaystyle \sf{ = ( - 1) \times i \: \: \: \bigg[ \: \because \: {i}^{2} = - 1 \bigg] }$

$\displaystyle \sf{ = - i}$

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