Chapter 1 – Algebraic Notation

Topic 1.8 – Rational Exponents

Rational Exponents uses the definition of an exponent to develop the connection between rational exponents and roots. Examples using both roots and powers are discussed. For this lesson, we assume that the base is a positive real number, and for practical purposes, the base is greater than 1 (otherwise we could just use a negative exponent). It is assumed that the output will also be a positive real number; the exponent 1/2 denotes the positive square root.

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