Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-3 Multipying Powers with the Same Base - Practice and Problem-Solving Exercises: 67

Answer

$2^{x+y}\cdot 3^{x+2}$

Work Step by Step

$a^m \cdot a^n = a^{m+n}$ Regroup the factors to obtain: $= (2^x \cdot 2^y)\cdot (3^x \cdot 3^2) $ Use the rule above to obtain: $=2^{x+y}\cdot 3^{x+2}$
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