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 - Page 431: 69



Work Step by Step

$x^m \cdot x^n = x^{m+n}$ Use the rule above to obtain: $=(t+3)^{7+(-5)} \\=(t+3)^{2}$ Use the formula $(a+b)^2=a^2+2ab+b^2$, where $a=t$ and $b=3$, to obtain: $=t^2 + 2(t)(3) + 3^2 \\=t^2+6t+9$
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