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Concept

Rational Exponent

When a number is raised to the power of a fraction, that fraction is the number's rational exponent. Such an expression is equivalent to a root.
Rational exponent to root

Notice that the denominator of the rational exponent gives the index of the root, while the numerator gives the power to which is raised. Since is a denominator, it cannot be zero. Moreover, if is an even number, then must be non-negative.

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