In this video lesson, students explore what happens when bases are different, leading to the rule anbn = (a • b)n. Students make use of structure when decomposing numbers into their constituent factors and regrouping them (MP7). Students create viable arguments and critique the reasoning of others when they generate expressions equivalent to 3,600 and 1/200 using exponent rules and determine the validity of other teams’ expressions (MP3).
Grade 8, Episode 20: Unit 7, Lesson 8 | Illustrative Math