MAT_1143-mar_4 - =-4 16 • A 4 B ¼ C 2 D 1/2 • A Not...

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Click to edit Master subtitle style March 4, 2011 Sections 4.5a
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Exam 2 Exam 2 will be Friday, March 11 It will cover 3.1-3.3, 4.1-4.3 and 4.5
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Fractional Exponents In 4.2 we used positive integer exponents In 4.3 we added 0 and negative integer exponents Now, we look at fractional exponents Again, the properties of exponents will be KEY to our understanding of fractional exponents.
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91/2 = x Let’s square both sides (we’ll see why, as I do this) (91/2)2 = x2 9(1/2)*2 = x2 Using property of exponents 91 = x2 9 = x2 So x =? Square root of 9 (= 3) Means only the positive root.
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In general n n a a = 1 This gives meaning to many fractional exponents If n is even, a MUST be positive However, we can take odd roots of negative numbers May be easier to work with radicals than with exponents in some cases
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A: 8/3 B: 2 C: ½ D: -2 = - 3 8 A: 8/3 B: 2 C: ½ D: -2
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= 4 16
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Unformatted text preview: =-4 16 • A: 4 B: ¼ C: 2 D: 1/2 • A: Not possible B: ¼ C: -2 D: 1/2 = 5 1 32 • A: 32/5 B: -2 C: 2 D: 1/160 • Rules of exponents STILL hold, only with a radical form n n n b a b a ⋅ = ⋅ n n n b a b a = • Use these to simplify radical expressions = 25 4 y = + 32 8 A: y2/5 B: y2/25 C: y3/5 D: y/5 A: sqrt(40) B: 20sqrt(2) C: 6sqrt(2) D: Can’t combine-unlike terms = 3 4 16 y A: 2y cuberoot(2y) B: 4y2 C: 2 cuberoot(2y4) D: y cuberoot(16y) = 4 3 18 y x A:3x3y4 sqrt(2) B: 3xy2 sqrt(2x) C: 3xy sqrt(2xy2) D: 3y2 sqrt(2x3) • Rationalizing denominator 2 2 8 2 2 2 4 1 4 1 3 3 3 3 3 3 3 3 = = ⋅ = • Falls into the category of simplifying radical expressions • Without a calculator, the division is easier in the final form Assignment 4.5a • 4.5-Exercises-p.241-242: 2, 3, 4, 5 • Due March 7, 2011...
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MAT_1143-mar_4 - =-4 16 • A 4 B ¼ C 2 D 1/2 • A Not...

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