Demystifying - Simplifying powers review

Drills

Simplifying powers with the multiply, divide and power-of-a-power laws, and solving equations in the index — combined laws and larger indices, past the KS3 one-law drill; negative and fractional indices stay in the existing Index laws drill.

Author note — to cover
  • Warm-up — one law at a time with indices larger than the KS3 drill uses, plus the zero index (3 questions).
  • Combined — several laws in one simplification, powers of products and quotients included, answered as single choices between index-form expressions since the engine cannot read a typed expression (5 questions).
  • Index equations — typed numeric answers solving for the index, ending with mixed bases like 2ˣ × 4 = 2⁷ that catch 'just add the indices' (4 questions).

The test

—coming soon—

Where to go next

This mixed review uses the methods from these learning pages: