Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Lesson Check - Page 436: 4



Work Step by Step

We start with the given expression: $(9x^5)^2(x^2)^5$ To raise a product to a power, we raise each factor to the power and multiply. $9^2(x^5)^2(x^2)^5$ To raise a power to a power, we multiply the exponents: $81x^{10}x^{10}$ To multiply powers with the same base, we add the exponents: $81x^{20}$
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