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: 94

Answer

$8x^{\frac{5}{12}}$

Work Step by Step

$$\frac{72x^{\frac{3}{4}}}{9x^{\frac{1}{3}}}$$ When two rational expressions with the same base are divided, subtract the exponents. $$=(\frac{72}{9})(x^{(\frac{3}{4} - \frac{1}{3})})$$ When subtracting fractions, you need a common denominator, in this case, 12: $$=8x^{(\frac{9}{12} - \frac{4}{12})}$$ $$=8x^{\frac{5}{12}}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.