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Objective 6 Raise integers to powers. ©2002 by R. Villar All Rights Reserved. Exponents and Powers. Evaluate y • y • y • y if y = 3 3 • 3 • 3 • 3 = 81 this is the same as 3 4 = 81 a n = a • a • a ... a exponent a n base. Example:.
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Objective 6 Raise integers to powers ©2002 by R. Villar All Rights Reserved
Exponents and Powers Evaluate y • y • y • y if y = 3 3 • 3 • 3 • 3 = 81 this is the same as 34 = 81 an = a • a • a ... a exponentan base
Example: = –36 Example: (–6)2 Note the difference from the first example. This says to square –6... = 36 Remember to use order of operations. This says to square 6, then take the negative... Example: 2 + 3(8 + 7)3 Order of operations. Parentheses first... 2 + 3(15)3 Next is Exponent... 2 + 3(3375) Next is Multiply... 2 + 10125 Next is Add... 10127
Example: = (27 • 9 – 3 • 4) (2 + 9) Within the parentheses, simplify Exponents first... = (243 – 12) (2 + 9) Remember to use order of operations… …the fraction bar acts as a grouping symbol (parentheses) Do Multiplication next... = 231 11 Do Addition/Subtraction next... = 21 Finally, Divide...