8.2.1 Radical Expressions and Rational Exponents (continued) Example 3 Writing Expressions in Radical Form When evaluating a power with a rational exponent m / n , either • evaluate the n th root first and then evaluate the m th power of the n th root, or • evaluate the m th power first and then evaluate the n th root of the m th power.
Example 4 Writing Expressions by Using Rational Exponents Use the following steps to write a radical expression as a power with a rational exponent. 1.Write the radicand as a power. 2.Write the base of the radicand as the base of the power with the rational exponent. 2.Write the radical’s index as the denominator of the rational exponent. 3.Write the radicand’s exponent as the numerator of the rational exponent.
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