WARM UP MULTIPLE CHOICE 1.How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour? a) 66 miles b) 180 miles c) 360 miles d) 420 miles 2.The lengths of the sides of a triangle are 4 centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle? f) 7cm g) 16cm h) 19cm i) 28cm 3

WARM UP MULTIPLE CHOICE 1.How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour? a) 66 miles b) 180 miles c) 360 miles d) 420 miles 2.The lengths of the sides of a triangle are 4 centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle? f) 7cm g) 16cm h) 19cm i) 28cm 2

WARM UP MULTIPLE CHOICE 1.How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour? a) 66 miles b) 180 miles c) 360 miles d) 420 miles 2.The lengths of the sides of a triangle are 4 centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle? f) 7cm g) 16cm h) 19cm i) 28cm 1

MULTIPLE CHOICE 1.How many miles does Joyce travel if she drives for 6 hours at an average speed of 60 miles per hour? a) 66 miles b) 180 miles c) 360 miles d) 420 miles 2.The lengths of the sides of a triangle are 4 centimeters 8 centimeters, and 7 centimeters. What is the perimeter of the triangle? f) 7cm g) 16cm h) 19cm i) 28cm WARM UP 0

Required Class Supplies Paper Pencil (no pen) Scientific Calculator (preferably Texas Instruments TI-30x) *you will need these supplies everyday!

1.2 Exponents and Powers GOAL: Evaluate a Power. KEY WORDS: Power Exponent Base Grouping Symbols

1.2 Exponents and Powers GROUPING SYMBOLS Parentheses ( ) and brackets [ ] are grouping symbols. They tell you the order in which to do the operations. You must do the operations within the innermost set of grouping symbols first: (3 ∙ 4) + 7 = = 193 ∙ (4 + 7) = 3 ∙ 11 = 33 You will learn more about the order of operations in the next lesson. First add. Then multiply.First multiply. Then add.

EXAMPLE 3: Evaluate Exponential Expressions Evaluate the variable expression when a = 1 and b = 2. a.b. a.(a 2 ) + (b 2 )b.(a + b) 2Solution a. a.(a 2 ) + (b 2 ) = (1 2 ) + (2 2 ) Substitute 1 for a and 2 for b = (1 ∙ 1) + (2 ∙ 2) Write factors. = Multiply = 5 Add. 1.2 Exponents and Powers

EXAMPLE 3: Evaluate Exponential Expressions Evaluate the variable expression when a = 1 and b = 2. a.b. a.(a 2 ) + (b 2 )b.(a + b) 2Solution b. b. (a + b) 2 = (1 + 2) 2 Substitute 1 for a and 2 for b = (3) 2 Add within parentheses. = 3 ∙ 3 Write factors. = 9 Multiply 1.2 Exponents and Powers

CHECKPOINT Evaluate the variable expression for x = 2 and y = 4. 1.(y - x) 2 2.(y + x) 2 3.(y 2 ) + (x 2 ) 4.(y 2 ) - (x 2 ) 5.(x 2 ) + y 6.(y 2 ) - x

EXAMPLE 4: Exponents and Grouping Symbols Evaluate the variable expression when x = 4. a.b. a.2x 3 b.(2x) 3Solution a. a. 2x 3 = 2(4 3 ) Substitute 4 for x = 2(64) Evaluate power. = 128 Multiply 1.2 Exponents and Powers

EXAMPLE 4: Exponents and Grouping Symbols Evaluate the variable expression when x = 4. a.b. a.2x 3 b.(2x) 3Solution b. b. (2x) 3 = (2∙ 4) 3 Substitute 4 for x = (8) 3 Multiply within parentheses = 512 Evaluate power 1.2 Exponents and Powers