Calculations

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Hi there list. 
Thanks for your help with my other questions.

I was carrying on working through, and stumbled across a problem when trying
to times something by the 'power' of something. By this I mean..in maths you
can write 3 * (2 ^ 3), the answer to which would be 24. (as 2 ^ 3 = 8).

The reason that I need this, is because I'm trying to double a variable x
amount of times (x is set by another variable).

For example my code is:

$cost = $farm_cost * (2 ^ $farm_level);

Any ideas how I would go about changing my calculation, as php dosn't seem
to recognise ^ meaning 'to the power of'.

Regards, 
Alex.

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