Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.1 Rules for Exponents - 3.1 Exercises: 74

Answer

$(10a^{3}bc^{9})^{\frac{1}{4}}=10^{\frac{1}{4}}a^{\frac{3}{4}}b^{\frac{1}{4}}c^{\frac{9}{4}}$

Work Step by Step

Step 1: The index of the radical is 4, so the denominator of the fractional exponent is 4. Step 2: Therefore, the expression is written as $(10a^{3}bc^{9})^{\frac{1}{4}}$. Step 3: $(10a^{3}bc^{9})^{\frac{1}{4}}=10^{\frac{1}{4}}a^{\frac{3}{4}}b^{\frac{1}{4}}c^{\frac{9}{4}}$
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