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 430: 61

Answer

$6a^4+2a^3$

Work Step by Step

(i) $a^m \cdot a^n = a^{m+n}$ (ii) $x(y+z) = xy + xz$ Use rule (ii) above by distributing $2a^3$ to each term of the binomial to obtain: $=2a^3(3a) + 2a^3(1)$ Multiply the coefficients together, and then apply rule (i) above to obtain: $=6a^{3+1} + 2a^3 \\=6a^4+2a^3$
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