Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Five-Minute Check (over Lesson 9–2) Then/Now Key Concept: Product Powers of Property Example 1: Multiply Powers Example 2: Multiply Monomials Key Concept: Quotient of Powers Property Example 3: Divide Powers Example 4: Real-World Example: Use Powers to Compare Values Over Lesson 9–2 Is 51 a prime or composite number? A. prime B. composite Over Lesson 9–2 Is 37 a prime or composite number? A. prime B. composite Over Lesson 9–2 What is the prime factorization of 75? A. 3 ● 25 B. 3 ● 52 C. 5 ● 5 ● 5 D. 25 ● 25 ● 25 Over Lesson 9–2 What is the prime factorization of 108? A. 23 ● 102 B. 23 ● 32 C. 22 ● 33 D. 2 ● 3 ● 4 ● 5 Over Lesson 9–2 Factor 15x2. A. 5 ● 5 ● 5 ● x ● x B. 3 ● 5 ● x C. 5 ● 5 ● 5 ● x ● x ● x D. 3 ● 5 ● x ● x Over Lesson 9–2 Factor –25y4z2. A. –1 ● 25 ● y4 ● z2 B. –1 ● 5 ● 5 ● y ● y ● y ● y ● z ● z C. –1 ● 5 ● 5 ● y4 ● z2 D. –5 ● 5 ● y ● y ● y ● y ● z ● z You used the Commutative and Associative Properties of Multiplication to simplify expressions. (Lesson 1–3) • Multiply monomials. • Divide monomials. Multiply Powers A. Find 34 ● 36. 34 ● 36 = 34+6 = 310 Answer: 310 Product of Powers Property; the common base is 3. Add the exponents. Multiply Powers B. Find 78 ● 7. 78 ● 7 = 78 ● 71 7 = 71 = 78+1 Product of Powers Property; the common base is 7. = 79 Add the exponents. Answer: 79 A. Find 43 ● 45. A. 42 B. 48 C. 415 D. 4–2 B. Find 95 ● 9. A. 95 B. 94 C. 95 D. 96 Multiply Monomials A. Find y4 ● y. y4 ● y = y4+1 = y5 Answer: y5 The common base is y. Add the exponents. Multiply Monomials B. Find (3p4)(–2p3). (3p4)(–2p3) = (3 ● –2)(p4 ● p3) Group the coefficients and variables. = (–6)(p4+3) The common base is p. = –6p7 Add the exponents. Answer: –6p7 A. Find w2 ● w5. A. w3 B. w7 C. w10 D. w–3 B. Find (–4m3)(6m2). A. 2m5 B. –24m5 C. –24m6 D. 2m6 Divide Powers Quotient of Powers Property; the common base is 4. = 46 Answer: 46 Subtract the exponents. Divide Powers B. Quotient of Powers Property; the common base is x. = x11 Answer: x11 Subtract the exponents. A. 45 B. 34 C. 38 D. 48 B. Find A. r 4 B. 14 C. r 3 D. r 5 . Use Powers to Compare Values CLOUDS The table shows the approximate heights of some clouds. About how many times higher are some high clouds than some low clouds? Write a division expression. Quotient of Powers Property Simplify. Answer: The high clouds are about 8 times higher than the low clouds. CLOUDS The table shows the approximate heights of some clouds. About how many times higher are some high clouds than some middle clouds? A. 2 times B. 4 times C. 8 times D. 16 times