Putting It All Together What is your objective? How can you accomplish the objective? 1 Review the Rules of Exponents • Understand all of the Rules of Exponents, and write the summary in your notes. • Complete the given example on your own. • Complete You Try 1. Read the explanations, follow the examples, take notes, and complete the You Try. Let’s review the rules of exponents. 1 Review the Rules of Exponents For real numbers a and b and integers m and n, the following rules apply: Summary The Rules of Exponents Rule Example Product Rule: am an amn 24 22 242 26 64 Basic Power Rule: (am)n amn (102)3 1023 106 1,000,000 Power Rule for a Product: (ab)n anbn (9t)2 92t2 81t2 Power Rule for a Quotient: aa b b n an 2 , where bnb 0. ar b 5 25 r5 32 r5 Zero Exponent: If a 0, then a0 1. (7)0 1 Negative Exponent: For a 0, an 1 an. 62 1 62 1 36 Quotient Rule: If a 0, then am an amn. 57 54 574 53 125 Next we will look at several different problems involving exponents and learn when to apply the different rules. www.mhhe.com/messersmith Putting It All Together 781
messersmith_power_prealgebra_1e_ch4_7_10
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