8.7 Practice Day 1

In this Practice Day, students practice what they’ve learned so far in this unit, with extra attention on topics from the more recent lessons.

By Desmos Classroom

Learning goals: Learning Goals • Review exponential notation. (Lesson 1) • Write an exponential expression to describe repeated multiplication. (Lesson 1) • Identify equivalent exponential expressions (e.g., `6^{3}\cdot6^{5}`, `(6^{4})^{2}`, and`2^{8}\cdot3^{8}`). (Lesson 2) • Write equivalent expressions involving the product of powers and powers of powers. (Lesson 2) • Justify that exponential expressions involving powers of powers and products of powers are equivalent. (Lesson 3) • Divide expressions involving exponents that have the same base. (Lesson 4) • Rewrite products of powers, quotients of powers, and powers of powers as single powers. (Lesson 4) • Understand and justify that `a^{0}=1` and that `a^{-n}=\frac{1}{a^{n}}=\left(\frac{1}{a}\right)^{n}`, where `a>0`. (Lesson 5) • Determine if two expressions involving positive, zero, and negative exponents are equivalent. (Lesson 5) • Look for and generalize properties of exponents, including products of powers, quotients of powers, powers of powers, zero exponents, and negative exponents. (Lesson 6)