College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.3: 93

Answer

$4x^\frac{1}{4}$

Work Step by Step

$$\frac{20x^{\frac{1}{2}}}{5x^\frac{1}{4}}$$ When two rational expressions with the same base are divided, subtract the exponents. $$=(\frac{20}{5})(x^{(\frac{1}{2} - \frac{1}{4})})$$ When subtracting fractions, you need a common denominator, in this case, 4: $$=4x^{(\frac{2}{4} - \frac{1}{4})}$$ $$=4x^{\frac{1}{4}}$$
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