Key Concepts. Rational Exponent a1 n. If n√a is a real number and n ≥ 2, then a1 n = n√a. Rational Exponent am n. For any positive integers m and n, am n = (n√a)m and am n =
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Example Question #1 : Simplify Expressions With Rational Exponents Solve: Possible Answers: Correct answer: Explanation: To remove the rational exponent, cube both sides of the equation:
In the next example, you may find it easier to simplify the expressions if you rewrite them as radicals first. Simplify: ⓐ ⓑ ⓒ ⓐ ⓑ ⓒ Simplify: ⓐ ⓑ ⓒ ⓐ 6 ⓑ 2 ⓒ 2 Simplify: ⓐ ⓑ ⓒ
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Detailed Answer Key Question 1 : Simplify : y2/3 ⋅ y7/3 Answer : = y2/3 ⋅ y7/3 = y2/3 + 7/3 = y(2 + 7)/3 = y9/3 = y3 Question 2 : Simplify : a3/5 ⋅ a7/5 Answer : = a3/5 ⋅ a7/5 = a(3 + 7)/5 = a10/5 =