Powers and roots
Pages
Index notation and powers
What the base and index mean, and writing repeated multiplication as a power.
Recognising powers of a number
The squares, cubes and powers of 2, 3, 4 and 5 worth recalling.
Square roots
The square root as the inverse of squaring, found by reversing a known square.
Positive and negative square roots
Why a squared equation has two solutions while the root sign gives one.
Cube roots and higher roots
Cube roots and nth roots as the inverse of a power, including negatives.
Practice
Index notation and powers
What the base and index mean, and writing repeated multiplication as a power.
PracticeRecognising powers of a number
The squares, cubes and powers of 2, 3, 4 and 5 worth recalling.
PracticeSquare roots
The square root as the inverse of squaring, found by reversing a known square.
PracticePositive and negative square roots
Why a squared equation has two solutions while the root sign gives one.
PracticeCube roots and higher roots
Cube roots and nth roots as the inverse of a power, including negatives.
PracticePowers and roots review
Evaluating powers and roots without a calculator, both square roots.