College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.2 - Algebra Essentials - R.2 Assess Your Understanding - Page 27: 89

Answer

$\dfrac{x^4}{y^2}$

Work Step by Step

RECALL: (1) $(a^m)^n=a^{mn}$ (2) $(ab)^m=a^mb^m$ (3) $a^{-m} = \dfrac{1}{a^m}, a \ne 0$ (4) $a^1 = a$ Use rule (2) above to obtain: $=(x^2)^2(y^{-1})^2$ Use rule (1) above to obtain: $=x^{2\cdot2}y^{(-1)\cdot2} \\=x^4y^{-2}$ Use rule (3) above to obtain: $=x^4 \cdot \dfrac{1}{y^2} \\=\dfrac{x^4}{y^2}$
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