# a Number to a fraction of a power

by AZTarzan
Tags: fraction, number, power
 P: 1 What is 125 to the power of 2/3 I think it is 1/125 or .008 but I'm not sure
 PF Patron HW Helper Sci Advisor P: 4,755 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.
P: 4
 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!

 Related Discussions Calculus & Beyond Homework 1 Calculus & Beyond Homework 2 General Discussion 36 General Math 79 General Physics 12