Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Lesson Check: 8

Answer

Second Student is Correct

Work Step by Step

To simplify $x^{5}$+$x^{5}$, we add the two terms and not the exponents because to add the exponents we need to multiply the terms as they would have the same base. $x^{5}$+$x^{5}$ = 2$x^{5}$ ($x^{5}$)$\times$($x^{5}$) = $x^{5+5}$ = $x^{10}$ --> Therefore Student one is wrong because you can't add the exponents as there is an addition sign and not a multiplication sign.
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