College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.3 - Integer Exponents and Scientific Notation - P.3 Exercises: 27

Answer

(a) $12x^4y^7$ (b) $\frac{x^7}{y}$ (c) $\frac{x^{6}y^{3}}{27}$

Work Step by Step

(a) $(2x^{2}y^{3})^{2}(3y)=2^{2}x^{2\cdot 2}y^{3\cdot 2} 3y=12x^{4}y^{7}$ (b) $\frac{x^{2}y^{-1}}{x^{-5}}=x^{2-(-5)}y^{-1}=x^{2+5}y^{-1}=x^{7}y^{-1}=\frac{x^7}{y}$ (c)$(\frac{x^{2}y}{3})^{3}=\frac{x^{2\cdot 3}y^{3}}{3^{3}}=\frac{x^{6}y^{3}}{27}$
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