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 exponentsrelated to radicals?Give an example of how an expressionwithrationalexponentcanberewrittenasaradicalexpression.Answer:A rational exponent is an exponent in the form of afraction.When relating rational exponents to the radicals, the bottomoftherationalexponentistheroot,andthetopoftherational exponent is the new exponent on the radical.𝑥𝑚/𝑛=𝑥𝑚𝑛For example:𝑥3/4=𝑥34𝑥3/4is the expression with rational exponent, and𝑥34istheradical expression.

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