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Day 2 PEMDAS and Exponent Rules.notebook WARMUP 1. Simplify: (4)(8) 2. Simplify: 3. Solve for x: 2x 3 = 13 August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Order of Operations & Rules of Exponents Why do we need an order of operations? P E M/D A/S Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Exponents 35 what does it mean? What happens when you multiply two numbers with the same base? x4(x3) = Does this work if they are different bases? Does it work if they are mixed up? Does it work if you are ADDING two numbers with exponents? Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 1.1 Multiplying Powers with the Same Base Rule 1: Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Now that we know to add the exponents when we multiply.. x4(x0) = What does that tell us about x0? Rule 7: Day 2 PEMDAS and Exponent Rules.notebook Your Turn: Ex: 3x5y6(34x7y)=______ August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 pg. 11 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 What about power to a power? (x3)2 = Rule 3: pg. 14 Your Turn: Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Power of a Product (xy2)3 Rule 4: Does this work for addition? Your Turn: Ex: (5x2y3)2 Ex: (3x3y11)4 Day 2 PEMDAS and Exponent Rules.notebook Now that we know that anything to the zero power is 1, look at this problem: 41(41) = 40 = 1 So what does 41= ? What about: 42(42) = 40 = 1 What does 42= ? Rule 6: Quite often, problems will say rewrite the answer using only positive exponents. In that case, you will need to move things around until the exponents are all positive. Ex: 128(124)=______ Ex: 3x5y6(34x7y)=______ What if you have 1 ? x5 August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 What about division? x10 x7 Rule 2: Your turn: x3y11 Ex: x5y7 pg. 23 Day 2 PEMDAS and Exponent Rules.notebook Power of a Quotient x y2 Rule 5: August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook Scientific Notation Example 1 August 28, 2014 pg. 6 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 Day 2 PEMDAS and Exponent Rules.notebook August 28, 2014 1.2 pg. 19