Combining Exponents

Students look for and make use of structure to discover ways to write equivalent exponential expressions involving the product of powers and powers of powers (MP7). At this time, students only work with positive exponents. In subsequent lessons, students will extend the exponent properties to cases where the exponents are zero or negative.

By Desmos Classroom

Learning goals: Learning Goals • Identify equivalent exponential expressions (e.g., `6^{3}\cdot6^{5}`, `(6^{4})^{2}`, and `2^{8}\cdot3^{8}`). • Write equivalent expressions involving the product of powers and powers of powers. Materials • Blank paper