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 7 - Polynomial Equations and Factoring - 7.2 - Multiplying Polynomials - Exercises - Page 370: 56

Answer

$\frac{1}{x^{2}}$.

Work Step by Step

The given expression is $=\frac{x^5\cdot x}{x^8}$ $=\frac{x^5\cdot x^1}{x^8}$ Use properties of exponents $a^m \cdot a^n=a^{m+n}$. $=\frac{x^{5+1}}{x^8}$ Simplify. $=\frac{x^{6}}{x^8}$ Use properties of exponents $\frac{a^m}{a^n}=\frac{1}{a^{n-m}}$. $=\frac{1}{x^{8-6}}$ Simplify. $=\frac{1}{x^{2}}$.
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