Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.1 - Properties of Exponents - Exercises - Page 296: 36

Answer

The error is in the third step. and the correct answer is $x^4$.

Work Step by Step

The given expression is $=\frac{x^5\cdot x^3}{x^4}$ Use the power of a product property. $=\frac{x^{5+3}}{x^4}$ Simplify. $=\frac{x^{8}}{x^4}$ Use the power of a quotient property. $=x^{8-4}$ Simplify. $=x^{4}$ Hence, the error is in the third step. and the correct answer is $x^4$.
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