Te reo Māori terms
click each term to open in Te Aka
Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-2
New NZC (2026)
NZC26-P4-NUM-NSO-P-Y9-06NZC26-P4-NUM-NSO-K-Y10-04NZC26-P4-NUM-NSO-K-Y9-02NZC26-P4-NUM-NSO-P-Y10-04
Resources
- CorbettMaths worksheet on negative indicesQuestions PDF · Answers
- CorbettMaths worksheet on fractional indicesQuestions PDF · Answers
Terminology
- Zero index
- Negative index
- Fractional index
- Reciprocal
- Common base
Task goals
- Foundation: Apply the zero-index and negative-index rules to rewrite numerical and simple algebraic expressions with positive indices only.
- Proficient: Simplify expressions combining fractional (rational) indices with the multiplication, division and power-of-a-power laws.
- Excellence: Solve equations with an unknown exponent by expressing both sides with a common base or using logarithmic reasoning, including simple growth/decay contexts.
Where this fits
What leads into this objective, and where it goes next.
You are here
Negative and Fractional Indices
Do
Converting between negative powers and unit fractions (e.g. 3^−2 = 1/9)
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-06
Know
Repeated division can be summarised using exponent notation with a negative exponent.
Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-02
Also under NA6-2:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.