Back to Rewrite expressions with rational exponents — Problem 3 · Task Set 2

Exercises: Rewrite Expressions Involving Radicals and Rational Exponents

Work through each section in order. Show your work for simplification problems. Express all fractional exponents in lowest terms.

Grade 9·20 problems·~28 min·Common Core Math - HS Number and Quantity·standard·hsn-rn-a-2
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Warm-Up: The Notation Bridge

These problems review the basic conversion between radical and exponential notation.

1.

Evaluate 8x33\sqrt[3]{8x^3} by first writing it in exponential form as (8x3)1/3(8x^3)^{1/3}, then simplifying. Give your answer as a simplified expression.