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**[SOLVED] calculating complex number**

## Homework Statement

Calculate [tex]{i}^{\frac{3}{4}}[/tex]

## Homework Equations

## The Attempt at a Solution

I tried with

[tex]i=cos\frac{pi}{2}+isin\frac{\pi}{2}[/tex]

[tex]i^3=cos\frac{3pi}{2}+isin\frac{3\pi}{2}[/tex]

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

[tex]\sqrt[4]{i^3}=\sqrt[4]{-i}[/tex]

I don't know where I should go out of here. Please help!