1.4 Powers and roots

identify square numbers and cube numbers

calculate squares, square roots, cubes and cube roots

use index notation and index laws for multiplication and division of positive and negative integer powers including zero

express integers as a product of powers of prime factors

find highest common factors (HCF) and lowest common multiples (LCM)

understand the meaning of surds

manipulate surds, including rationalising a denominator

use index laws to simplify and evaluate numerical expressions involving integer, fractional and negative powers