Author note — to cover (Higher)

Higher only. Evaluating a to the m/n as nth root first then mth power, e.g. 27 to the 2/3 is 9, with bases that are perfect powers; converting between root and index notation both ways. Negative fractional indices follow on the sibling page; Foundation stops at integer indices. (N7)

• Fluency — direct questions on fractional indices, 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).