1. Exponents 6262 Base: the number that you start with Exponent: tells us how many times to multiply the base. 6 x 6 b3b3 = b x b x b This is NOT the same as 3b!!! -2 4 Let’s see what happens when we use negative numbers … -2 x -2 x -2 x -2 = 16 If you are entering these into your calculator, you must put parenthesis around the base. (-2) 4 Enter this in your calculator as: ( - 2 ) ^ 4 (2 5 – 3 2 ) + 6 (4) (32 – 9) + 6 (4) 23 + 6(4) 23 + 24 47 OR Enter the numbers in your calculator EXACTLY as you see them. Don’t forget the exponent key before you punch in the exponent (^).

2. The number of diagonals of an n-sided figure is: 1 ( n 2 – 3n) 2 Find the number of diagonals in a 7-sided figure. 1 ( n 2 – 3n) = 2 1 ( 7 2 – 3(7)) = 2 1 ( 49 – 21) = 2 1 ( 28) = 2 14 Multiplying and Dividing Numbers with Exponents Rule: when you multiply powers with the same base, KEEP the base and ADD the exponents. 3 3 · 3 2 = 3 5 Rule: when you divide powers with the same base, KEEP the base and SUBTRACT the exponents. 5 7 ÷ 5 2 = 5 5

3. [23476a 2 b 7 c 15 x 3 y 14 z 77 ] 0 = 1 WHY??? Any number to the 0 power is 1 Negative Exponents 5 -2 When you have a negative exponent, you turn it into a fraction with a 1 as the numerator and get rid of the negative. 1 5252 You can put this into your calculator: 1 Ab/c 5^2. You get.04 If you want your answer in fraction form, hit 2 nd PRB. You get 1/25. Homework: pg. 86 31-12 all pg. 90 1-9 all pg. 94 1-12 all Quiz Tuesday!