Day 6: Exponents Goal: To simplify expressions containing exponents. AND to evaluate expressions Standard: Standard 9.2.3: Generate equivalent algebraic expressions involving polynomials and radicals; use algebraic properties to evaluate expressions. Guiding Question: How can I evaluate expressions? AND How do I use exponent properties to simplify expressions? Materials: Pencil, Folder, Student Packet 1Day 6: Exponents

Access: What does 2 2 mean? 2 3 ? 2 4 ? (x + 2) 2 ? 2Day 6: Exponents

Simplifying Exponential Expressions: -no negative exponents -same base does not appear more than once -no powers, products or quotients are raised to powers (ie no parenthesis) -numerical coefficients are relatively prime 3Day 6: Exponents

Integer Exponents: Zero Exponent: x 0 = 1 Negative Exponent: x -n = Simplify: A)4 -3 B) 7 0 Try: C) (-5) -4 D) E)2r 0 m -3 F) G) 4Day 6: Exponents

Product of Powers: a m a n = a m+n Power of a Power: (a m ) n = a mn Power of a Product: (xy) m = x m y m Simplify: A)(x 2 ) 5 B)n 6 n 2 C) (2t) 5 D) (a 2 b 2 ) 5 (a -5 ) 2 Try: E) (2 3 ) 3 F) (3 6 ) 0 G) (p 4 q 2 ) 7 H) (-4x 3 ) 4 I)(ab) 3 (ab) -2 5Day 6: Exponents

Quotient of Powers: Positive Power of a Quotient: Negative Power of a Quotient: Simplify: A) B) Try) C) D) E) F) 6Day 6: Exponents

Evaluate each Expression for the given variable: A)2x + 3 for x = 7 B)4x+8; x=-2 C) p 0 for p = 9 D) x -3 y for x = 4 and y = -2 Try) E) 3n - 5 for n = 7 F)-5t - 15; t = 1 G) t -6 for t = 2 H) (5 – d) -7 for d = 6 I)r 0 s -2 for r=8 and s = 10 7Day 6: Exponents

Work Time: Work through pages 17 and 18 in your packet Multiplication test at: ______ Exit Slip at: _________ 8Day 6: Exponents

Multiplication Timed Test: -Page 19 of your packet – tear out of packet You have five minutes to fill in as much as you can Go = Start, Stop = hands up! Highlight the ones you did not know 9Day 6: Exponents

Exit Slip: (on a half-sheet of scratch paper) NM: Simplify each expression: A)x^4/y^-6 B) 8f -4 g 0 C) (m 3 n 3 ) 5 D)(x^3y^4/xy^5)^-3 Make sure your name is on it, and turn it in! 10Day 6: Exponents