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Rational Exponents

If n is a natural number greater than 1, and b is any nonnegative real number, then




and since a negative exponent indicates a reciprocal, then




Example 1: Simplify each of the following.




If n is a natural number greater than 1, m is an integer, and b is a nonnegative real number, then




and




Example 2: Simplify each of the following.




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