A Number to a fraction of a power

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The discussion centers on calculating 125 raised to the power of 2/3, which equals 25. The fractional exponent indicates that the cube root of 125 is taken first, followed by squaring the result. The equation can be expressed as 125^(2/3) = x, which simplifies to finding x such that x^3 = 125^2. This clarification emphasizes the significance of understanding fractional exponents in mathematical operations.

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What is

125 to the power of 2/3

I think it is 1/125 or .008 but I'm not sure
 
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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.
 
Last edited:
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!
 

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