Maths question help..

[Ohnoezfail]

Okay.. I have my higher gcse retake exams tommorow, and I need OcUK's help
The question is to write 27^-1/3 as a fraction
But I don't think I'm getting the correct answer
Here are my steps:

27^-1/3


1
-----------
sqrt27 ^1/3

1
------------
3sqrt27 ^1/3


3sqrt27 = 9sqrt3


1
------------
9sqrt3 ^1/3


9sqrt3 * 1/3 = 3sqrt3


Any geniuses help me out here please?

 

[Ohnoezfail]

1/3

Oh dear O_O
Where did I go wrong?
Any help would be useful right now

 

[Ohnoezfail]

Ah thank you all for your wisdom and guidance
And I hope not taz O_O