Unit 1, Lesson 6# Proofs of Laws of Exponents

EngageNY 45 min(s)

Students extend the previous laws of exponents to include all integer exponents. Students base symbolic proofs on concrete examples to show that (𝑥𝑏)𝑎 = 𝑥𝑎𝑏 is valid for all integer exponents. The goal of this lesson is to show why the laws of exponents are correct. Ask advanced learners to consider why it is necessary to restrict the values of 𝑥 and 𝑦 to nonzero numbers.