## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 5 Polynomials and Polynomial Functions - 5.1 Using Properties of Exponents - Guided Practice for Examples 3, 4 and 5 - Page 333: 5

#### Answer

$x^2$

#### Work Step by Step

We know the following rules of exponents: $$(1) \ a^m\cdot a^n = a^{m+n} \\ (2) \ (ab)^m =a^mb^m \\ (3) \ (a^m)^n =a^{mn} \\ (4) \ a^{-m} = \frac{1}{a^m} \\ (5)\ \frac{a^m}{a^n} =a^{m-n} \\ (6) \ a^0=1 \\ (7) \ (\frac{a}{b})^m =\frac{a^m}{b^m}$$ Thus, using rule (1), we find: $$=x^2$$

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