Powers and Exponents Simplify 35 – (3 • 2)2. 35 – (3 • 2)2 = 35 – (6)2 COURSE 3 LESSON 1-7 Powers and Exponents Simplify 35 – (3 • 2)2. 35 – (3 • 2)2 = 35 – (6)2 Work inside the grouping symbols. = 35 – 36 Simplify the power. = –1 Subtract. 1-7

Powers and Exponents Evaluate each expression for y = –5. a. (4y)3 COURSE 3 LESSON 1-7 Powers and Exponents Evaluate each expression for y = –5. a. (4y)3 (4y)3 = [4(–5)]3 Substitute –5 for y. Work inside the grouping symbols. = [–20]3 Write (–20) three times. = [(–20)] [(–20)] [(–20)] = –8000 Multiply. b. 4y3 4y3 = 4(–5)3 Substitute –5 for y. 1-7

Powers and Exponents = 4(–5)(–5)(–5) Write –5 three times. = –500 COURSE 3 LESSON 1-7 (continued) = 4(–5)(–5)(–5) Write –5 three times. = –500 Multiply. 1-7

Powers and Exponents COURSE 3 LESSON 1-7 s2 + h2 2h Use the expression to find the radius of a doorway that has the dimensions s = 3 ft and h = 1 ft. s2 + h2 2h 32 + 12 2 • 1 = Substitute 3 for s and 1 for h. 9 + 1 2 • 1 = The fraction bar acts as a grouping symbol. Simplify the powers. 10 2 = Simplify above and below the fraction bar. Divide. = 5 The radius of the doorway is 5 ft. 1-7

Powers and Exponents 1. Write a • a • a • b • b using exponents. COURSE 3 LESSON 1-7 1. Write a • a • a • b • b using exponents. 2. Simplify (–4)3. 3. Simplify –25. 4. Simplify (–8 • 5)2 – 92. 5. Simplify 10 – (5x)2 for x = –2. 6. Simplify 32 • 23 – 62. a3b2 –64 –32 1,519 –90 36 1-7