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: 62



Work Step by Step

(i) $a^m \cdot a^n = a^{m+n}$ (ii) $x(y+z) = xy + xz$ Use rule (ii) above by multiplying $8m^3$ to each term of the binomial to obtain: $=8m^3(m^4) + 8m^3(2) $ Multiply the coefficients together, and then apply rule (i) above to obtain: $\\=8m^{3+4} + 16m^3 \\=8m^7+16m^3$
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