Author note — to cover

Adding indices when multiplying powers of the same numeric base, derived by counting repeated factors, e.g. 3 to the 4 times 3 squared; three-factor chains included. Different bases never combine; division is the sibling page; algebraic bases live on the Algebra notation page. Both tiers. (N7)

• Fluency — direct questions on multiplying powers of the same base, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).