Summary 87 Exponents, Square Roots, and the Order of Operations Key Concepts A number raised to an exponent represents repeated multiplication. For 63, 6 is the base and 3 is the exponent or power. The square root of 16 is 4 because That is, 216 4. 42 16. Order of Operations 1. Perform all operations inside parentheses first. 2. Simplify any expressions containing exponents or square roots. 3. Perform multiplication or division in the order that they appear from left to right. 4. Perform addition or subtraction in the order that they appear from left to right. Powers of 10 101 10 102 100 103 1000 and so on. The mean is the average of a set of numbers.To find the mean, add all the values and divide by the number of values. Examples Example 1 94 9 9 9 9 6561 Example 2 249 7 Example 3 32 116 19 622 32 116 1322 32 4 9 8 9 17 Example 4 1 followed by 5 zeros Example 5 Find the mean (average) of Michael’s scores from his homework assignments. 40, 41, 48, 38, 42, 43 Solution 40 41 48 38 42 43 The average is 42. 6 252 6 42 105 100,000 Section 1.7
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