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A rational exponent means that you use a fraction as an exponent, for example, 10 to the power 1/3. These exponents are interpreted as follows, for example:10 to the power 1/3 = 3rd root of 1010 to the power 2/3 = (3rd root of 10) squared, or equivalently, 3rd root of (10 squared)
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Yes -10 is an integer and a rational number
Any integer that is a multiple of 10 (those are the ones that end with 0) will yield an integer if you divide it by 10. Anything else will not.
Opposite integers have the same magnitudes, but different signs. Examples of an opposite integers: 10 and -10, -298 and 298.