Sewanhaka High School Mrs. Lidowsky, Principal Math 8 Mr. Long, Teacher Period:______________ Date:________________________ Name:___________________________________ H.W. #4: Ditto DO-NOW #4: Answer the following questions. Show work. 1) One meter is 103 times longer than one 2) The tallest mountain in the United States is millimeter. One kilometer is 106 times as longer Mount McKinley in Alaska. The elevation is about than one millimeter. How many times longer is one 22 * 5 * 103 feet above sea level. What is the height kilometer than one meter? Write your answer in of Mount McKinley? exponential and standard form. 3) Topic: Algebra Main Idea: Finding the Powers of Monomials Aim: RECALL The Marine Club at Sewanhaka High School purchased an aquarium. The aquarium is in the shape of a cube with a side length of 24 inches. Write a multiplication expression to represent the volume of the aquarium. Write the previous expression as a single power of 2. How can I write 24 * 24 * 24 in exponential form using 24 as the base? Is 24 * 24 * 24 = 212? Justify your answer. How can I simplify (24)3 using the laws of exponents without writing it out in factor form with 24 as your base? NOTES RECALL Simplify using the laws of exponents. NOTES a) (85)2 = b) (k7)6 = c) [(32)3]2 = d) (-2m7n6)5 = Drill: Summary: If time: Simplify using the laws of exponents