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Brainlag Learn / GCSE Maths

Powers, roots and standard form

Squares, cubes and roots, the laws of indices (negative and fractional too), and very large and very small numbers in standard form.

Lessons

  1. Powers and rootsSquares, cubes and their roots, powers of small numbers, negative numbers squared, and estimating a root. 20 min, with the Scientific Calculator, free
  2. The laws of indicesMultiply, divide and raise powers of the same number, the zero index, and the same laws with letters. 20 min, free
  3. Negative and fractional indicesWhat negative and fractional indices mean, evaluating powers like 8^(−2/3) exactly, and solving equations with the unknown in the index. 25 min, with the Scientific Calculator, Plus, Higher tier
  4. Standard formWrite very large and very small numbers as A × 10ⁿ, change them back, and compare them. 20 min, Plus
  5. Calculating with standard formMultiply, divide, add and subtract in standard form without a calculator, and solve problems about space, cells and data. 25 min, with the Scientific Calculator, Plus

Practise and test

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