Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Period:______________ Date:________________________ Name:___________________________________ H.W. #2: Ditto DO-NOW #2: Evaluate each expression: 1) 93 = 2) 3 • 43 • 54 = 3) Use a factor tree to write the prime factorization of 600 in exponential form 4) Topic: Algebra Main Idea: Laws of Exponents involving multiplication Aim: RECALL How many times as many apples did the tree grow on Friday as compared to Tuesday? Copy the problem, 9 x 27 = 243 over in factor form using only 3 as your factor and then underneath that answer copy the problem over again in exponential form using 3 as your base? Who can write a rule for multiplying two or more terms with the same base? NOTES DAYS OF WEEK MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Factor Form Power of 3 (EXPONENTIAL FORM) Value of Power What if the base is different? What if you have variables? What if you have more than two numbers? (1) 34 . 35 = (2) 102 . 104 = (3) 24 . 25 . 23 = (4) x4 . x5 = (5) x4 . y5 = (6) x4 . y2 . x4 . y3 = (7) 3x2 y2 .5x4 y2 = Drill: Directions: Write your answer in exponential form and then evaluate. 1) 24 = 2) 25 = 3) 24 * 25 = 4) ya * yb = 5) 32 * 36 = 6) y * y2 * y5 * y3 = 7) (4ab)(5a2b3) = SUMMARY: If time: Directions: Write your answer in exponential form and then evaluate. 1) 33 = 2) 34 = 3) 33 * 34 = 4) y2 * y3 = 6) y4 * y2 * y2 * y3 = 5) 24 * 25 * 23 =