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I guess you mean "fractional" exponents. That just means that the exponent is not a whole number. Example: x1/4. It makes sense to define such a fractional exponent as equivalent to (in this case) the fourth root of x. As another example, x3/4 is the same as the fourth root of (x3), which is the same as the cube of (the fourth root of x).

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Q: What is a factional exponents?
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