Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises: 16



Work Step by Step

We are given the expression $(-5x^{2})(3x^{4})$. Before applying the product rule for exponents, we can group like terms. $(-5x^{2})(3x^{4})=(-5\times3)(x^{2}\times x^{4})$ According to the product rule for exponents, $a^{m}\times a^{n}=a^{m+n}$. Therefore, $(-5\times3)(x^{2}\times x^{4})=(-15)(x^{2+4})=(-15)(x^{6})=-15x^{6}$.
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