20 Chapter 1 Real Numbers and Algebraic Expressions Problems Solutions 2d. 12 -3 12 -3 =-4 2e. -7 -2 -7 -2 = 7 2 2f. 4 ÷ a- 1 2 b 4 ÷ a- 1 2 b = 4 · -2=-8 2g. 0 -5 0 -5 = 0 2h. - 3 0 - 3 0 is undefined 2i. -6(-2) ÷ (-4) -6(-2) ÷ (-4) = 12 ÷ (-4) Multiply. = -3 Divide. Student Check 2 Perform the indicated operation. a. (-9)(-2) b. a- 4 3 ba3 4 b c. (-4.12)(-10) d. 32 -2 e. -5 -3 f. 9 ÷ a- 1 3 b g. -2 0 h. 0 -10 i. 3a- 2 3 b ÷ a- 1 2 b Exponential Expressions Exponents arise in many different formulas. Exponents indicate repeated multiplication of the same factor. The repeated factor is called the base and the number of times it is used as a factor is denoted by the exponent. Property: Exponential Notation For b a real number and n a natural number, b raised to the nth, bn, is the product of n factors of b. exponent bn = b · b · b . . . b ('')''* n times base Objective 3 ▶ Simplify exponential expressions. Some examples of exponents are shown. Verbal Phrase Mathematical Expression 3 squared 32 = 3 · 3 = 9 5 cubed 53 = 5 · 5 · 5 = 125 6 to the 4th 64 = 6 · 6 · 6 · 6 = 1296 Note: We usually do not write an exponent of 1. For example, 6 is assumed to be 61.
hendricks_intermediate_algebra_1e_ch1_3
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