1 / 8

More Multiplication Properties of Exponents

More Multiplication Properties of Exponents. ALGEBRA 1 LESSON 8-4. (For help, go to Lesson 8-3.). Rewrite each expression using each base only once. 1. 3 2 • 3 2 • 3 2 2. 2 3 • 2 3 • 2 3 • 2 3 3. 5 7 • 5 7 • 5 7 • 5 7 4. 7 • 7 • 7 Simplify. 5. x 3 • x 3 6. a 2 • a 2 • a 2

saxton
Download Presentation

More Multiplication Properties of Exponents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 (For help, go to Lesson 8-3.) Rewrite each expression using each base only once. 1. 32 • 32 • 322. 23 • 23 • 23 • 23 3. 57 • 57 • 57 • 574. 7 • 7 • 7 Simplify. 5.x3 • x36.a2 • a2 • a2 7.y–2 • y–2 • y–28.n–3 • n–3 4-4

  2. More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Solutions 1. 32 • 32 • 32 = 3(2 + 2 + 2) = 36 2. 23 • 23 • 23 • 23 = 2(3 + 3 + 3 + 3) = 212 3. 57 • 57 • 57 • 57 = 5(7 + 7 + 7 + 7) = 528 4. 7 • 7 • 7 = 73 5.x3 • x3 = x(3 + 3) = x6 6.a2 • a2 • a2 = a(2 + 2 + 2) = a6 7.y–2 • y–2 • y–2 = y(–2 + (–2) + (–2)) = y–6 = 8.n–3 • n–3 = n(–3 + (–3)) = n–6 = 1 y 6 1 n 6 4-4

  3. Multiply exponents when raising a power to a power. (a3)4 = a3• 4 Simplify. = a12 More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Simplify (a3)4. 4-4

  4. b2(b3)–2 = b2 • b3• (–2) Multiply exponents in (b3)–2. = b2 • b–6 Simplify. Add exponents when multiplying powers of the same base. = b2 + (–6) = b–4 Simplify. 1 b4 Write using only positive exponents. = More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Simplify b2(b3)–2. 4-4

  5. (4x3)2 = 42(x3)2 Raise each factor to the second power. Multiply exponents of a power raised to a power. = 42x6 = 16x6 Simplify. More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Simplify (4x3)2. 4-4

  6. Raise the three factors to the second power. (4xy3)2(x3)–3 = 42x2(y3)2 • (x3)–3 Multiply exponents of a power raised to a power. = 42 • x2 • y6 • x–9 Use the Commutative Property of Multiplication. = 42 • x2 • x–9 • y6 Add exponents of powers with the same base. = 42 • x–7 • y6 16y6 x7 Simplify. = More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Simplify (4xy3)2(x3)–3. 4-4

  7. Raise each factor within parentheses to the second power. 102 • (3 108)2 = 102 • 32 • (108)2 = 102 • 32 • 1016 Simplify (108)2. Use the Commutative Property of Multiplication. = 32 • 102 • 1016 Add exponents of powers with the same base. = 32 • 102 + 16 Simplify. Write in scientific notation. = 9  1018 More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 An object has a mass of 102 kg. The expression 102 • (3  108)2 describes the amount of resting energy in joules the object contains. Simplify the expression. 4-4

  8. x16 y6 More Multiplication Properties of Exponents ALGEBRA 1 LESSON 8-4 Simplify each expression. 1. (x4)52.x(x5y–2)3 3. (5x4)34. (1.5  105)2 5. (2w–2)4(3w2b–2)36. (3  10–5)(4  104)2 x20 2.25  1010 125x12 432b6w2 4.8  103 4-4

More Related