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: 64

Answer

$y^{0}*y^{6}$,$y^{1}*y^{5}$,$y^{2}*y^{4}$,$y^{3}*y^{3}$,$y^{4}*y^{2}$,$y^{5}*y^{1}$,$y^{6}*y^{0}$

Work Step by Step

$y^{6}$ can be represented as $y^{6} = y^{a}.y^{b} = y^{a+b}$ Hence,any $a,b$ such that $a+b=6$ is a solution Now,possible values of $(a,b)$ are : $(0,6),(1,5),(2,4),(3,3),(4,2),(5,1),(6,0)$ Hence,possible expressions are : $y^{0}*y^{6}$,$y^{1}*y^{5}$,$y^{2}*y^{4}$,$y^{3}*y^{3}$,$y^{4}*y^{2}$,$y^{5}*y^{1}$,$y^{6}*y^{0}$
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