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Properties of ExponentsExamples and Practice
Product of Powers PropertyHow many factors of x are in the product x3∙x2? Write the product as a single power. In general: 5 factors: x∙x∙x∙x∙x x∙x∙x∙x∙x = x5 xm∙xn= xm + n
Question #1 Simplify the expression: a3a5 a. a15 b. a8 c. a2 d. 1/a2
Question #2 Simplify the expression: (3m2)(2m4) a. 6m8 b. 5m6c. 5m8 d. 6m6
Question #3 Simplify the expression: (-2xy3)(5x4y2)a. -10x5y5 b. -10x4y5 c. 3x5y5 d. -10x4y6
Power of a Power PropertyHow many factors of x are in the expression (x3)2? Write the product as a single power. In general: 6 factors: x∙x∙x∙x∙x∙x (x∙x∙x)∙(x∙x∙x) = x6 (xm)n= xm∙n
Question #4 Simplify the expression: (42)5 a b c d. 167
Question #5 Simplify the expression: (x3)4 a. x7 b. 2x7 c. x12 d. 2x12
Power of a Product PropertyHow many factors of x and y are in the expression (xy)2? Simplify the expression. In general: 2 factors of each: (x∙y)∙(x∙y) (x∙y)∙(x∙y) = x2y2 (x∙y)m= xmym
Question #6 Simplify the expression: (b3c2)4 a. b7c6 b. b12c8c. b7c8 d. 2b12c8
Question #7 Simplify the expression: (-3a3b)2 a. 6a5b2 b. 9a5b2c. -9a6b2 d. 9a6b2
Question #8 Simplify the expression: (-3a3b)2(2ab) a. 36a7b3 b. 18a7b3c. -6a7b3 d. -18a7b3
Quotient of Powers PropertySimplify the expression. In general:
Question #9 Simplify the expression: a. a5 b. a9 c. 1/a5 d. 1/a9
Question #10 Simplify the expression: a. a5 b. 6 c. 1/a5 d. 1/6
Question #11 Simplify the expression: a. -3a5 b. -16a5c. -3a8 d. -16a8
Question #12 Simplify the expression: a. b. c. d a4b3
Power of a Quotient PropertySimplify the expression. In general:
Question #13 Simplify the expression: a. b. c. d
Question #14 Simplify the expression: a. b. c. d.
Negative Exponent PropertyIn general:
Question #15 Simplify the expression: (34)(3-2) a. 38 b. 3-8c d. 32
Question #16 Simplify the expression: a. b. c. d.
Question #17 Simplify the expression: a b. 26 c d.
Question #18 Simplify the expression: a. b. c. d.
Question #19 Simplify the expression: a. b. c. d.
Zero Exponent PropertyIn general:
Question #20 Simplify the expression: x0y-2 a. b. xy2 c. y2 d.
Properties of Exponents
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7.2 Properties of Rational Exponents OBJ: use properties of rational exponents & radicals and write expressions in simplest form Do Now: Simplify a)(-5)
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Evaluate the expression. Tell which properties of exponents you used.
Lesson 8.4 Multiplication Properties of Exponents
Be able to multiply monomials. Be able to simplify expressions involving powers of monomials.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Exponents and Polynomials
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8.7/8.8 DIVISION AND MORE MULTIPLICATION PROPERTIES OF EXPONENTS ALGEBRA 1 CP OBJECTIVE: USE TWO MORE MULTIPLICATION PROPERTIES AND APPLY DIVISION PROPERTY.
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Bell Problem Simplify 13, Use Properties of Exponents Standards: 1.Understand ways of representing numbers 2. Understand how operations are.
Multiplying and Dividing Monomials 4.3 Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a v ariable, ex: x (3)or a product.
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