Understanding Rational Exponents And Their Relationship To Radicals

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Understanding Rational Exponents and Their Relationship to Radicals" What is a rational exponent? How are rational exponents related to radicals? G i ve an example of how an expression with rational exponent can be rewritten as a radical expression. Answer: A rational exponent is an exponent in the form of a fraction. When relating rational exponents to the radicals, the bottom of the rational exponent is the root, and the top of the rational exponent is the new exponent on the radical. 𝑥 𝑚 / 𝑛 = √ 𝑥 𝑚 𝑛 For example: 𝑥 3 / 4 = √ 𝑥 3 4 𝑥 3 / 4 is the expression with rational exponent, and √ 𝑥 3 4 is the radical expression.
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