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: 98

Answer

$\frac{g^{7}}{15f^{4}}$

Work Step by Step

$(3375f^{12}g^{-21})^{-\frac{1}{3}}$ =$(15^{3}\times f^{12}\times g^{-21})^{-\frac{1}{3}}$ =$(15^{3})^{-\frac{1}{3}}\times(f^{12})^{-\frac{1}{3}}\times(g^{-21})^{-\frac{1}{3}}$ =$15^{-1}\times f^{-4}\times g^{7}$ =$\frac{1}{15}\times \frac{1}{f^{4}}\times g^{7}$ =$\frac{g^{7}}{15f^{4}}$
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