A Number to a fraction of a power

[AZTarzan]

What is

125 to the power of 2/3

I think it is 1/125 or .008 but I'm not sure

 

[quasar987]

What is the meaning of this question? Are you asking about the nature/significance of a number raised to a fractional power or are you actually looking for the numerical answer to 125^(2/3) ?!?

If the former, the answer is solving for x in the equation 125^{2/3}=x, which is equivalent to the equation 125^2 = x^3, which means finding the number x such that raised to the power 3 equal 125 raised to the power 2.

If the later, any calculator, even the cheapest, will tell you it's 25.

 

[thorney]

just to clarify

125 to the power of 2/3

125^(2/3)

the /3 means the third or cube root and the 2 can be taken to mean squared
ince both are powers the Cube[(125^2)] will give you the answer.

hope this makes it clear!