Chapter 1, Equations and Inequalities - 1.2 Evaluate and Simplify Algebraic Expressions - Guided Practice for Examples 1,2, and 3 - Page 11: 3

$(-2)^{6}=64$

Work Step by Step

Since the exponent is an even number we know that the result will be positive. $(-2)^{6}$ can be written as $(-2)\times(-2)\times(-2)\times(-2)\times(-2)\times(-2)=4\times(-2)\times(-2)\times(-2)\times(-2)=(-8)\times(-2)\times(-2)\times(-2)=16\times(-2)\times(-2)=(-32)\times(-2)=64$

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