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To this point, exponents had been restricted to integers. On this section, we will define what rational (or fractional) exponentsthe fractional exponent m/n that suggests a thorough with index n and exponent m: am/n=amn . Mean and how to work with them. All of the regulations for exponents advanced up thus far observe. Mainly, take into account the product rule for exponents. Given any rational numbers m and n, then.

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An expression with a rational exponent is equal to a radical wherein the denominator is the index and the numerator is the exponent. Any radical expression can be written with a rational exponent, which we name exponential forman equivalent expression written using a rational exponent. .