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Radicals as exponential fractions

so x^(1/3) = cuberoot of x
what does x^(2/3) = as a radical?

Question 2
How would I go about cancelling x^(2/3), or rather what is the opposite function of x^(2/3)?
Think about the laws of indices: xab=(xa)bx^{ab} = (x^a)^b. Does that help?

By "opposite function", do you mean inverse? In that case, it's the same as for any other function: You want to reflect in the line y = x. In particular, for any function of the form f(x)=xAf(x) = x^A (if you're not comfortable with the notation, pretend I wrote yy instead of f(x)f(x)), the inverse is of the form x1Ax^\frac{1}{A}.

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