+ CCM 1B Unit 5 – Day 2 Properties of Exponents. + Warm Up – January 24 th.

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+ CCM 1B Unit 5 Day 2 Properties of Exponents Slide 2 + Warm Up January 24 th Slide 3 + Homework Check - 5.1 Slide 4 + Exponent Rules Review Exponents are a short-hand way of multiplying the same quantity over and over. Example: X 4 = (x)(x)(x)(x) Slide 5 + Try Some: Expand the following 4 3 Y 4 X 2 y 5 w 6 z 1 Slide 6 + Using Exponents to simplify Write using exponents x*x*x*x 2*2*2*2*x*x*x*y*y 3*3*3*4*4*4*4*x Slide 7 + Zero as an exponent Anything with an exponent of zero equals 1. (Check this in your calculator) Ex) x 0 = 1 6 0 = Y 0 = Slide 8 + Negative Exponents When you have a NEGATIVE exponent you turn it POSITIVE and FLIP it. EX x -3 Slide 9 + Try Some Slide 10 + Multiplication When multiplying like bases you ADD exponents Ex) x 4 x 2 Slide 11 + Try some! X 3 x 4 Y 3 x 4 y 7 z 3 y 2 x 5 z 5 y 6 x 10 Slide 12 + Exponents of Exponents When you have an exponent of an exponent you MULTIPLY EX: (x 4 ) 3 Slide 13 + Try Some! (x) 5 (x 2 y 4 ) 5 (2x 3 ) 6 Slide 14 + Division When you divide like bases you SUBTRACT exponents Slide 15 + Try Some Slide 16 + Growing Sequences Worksheet Slide 17 + Growing Sequences Arithmetic Sequence: goes from one term to the next by always adding (or subtracting) the same value Common Difference : The number added (or subtracted) at each stage of an arithmetic sequence Initial Term : Starting term For example, find the common difference and the next term of the following sequence: 3, 11, 19, 27, 35,... Slide 18 + Growing Sequences Geometric Sequence: goes from one term to the next by always multiplying (or dividing) by the same value Common Ratio: The number multiplied (or divided) at each stage of a geometric sequence Determine the common ratio r of the Brown Tree Snake Sequence. 1, 5, 25, 125, 625,... Slide 19 + Practice with Sequences

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