GCSE Maths OCR J560

Use positive integer indices to write, for example, $2×2×2×2=2^4$

Use negative integer indices to represent reciprocals.

Use fractional indices to represent roots and combinations of powers and roots.

Calculate positive integer powers and exact roots.

e.g. $2^4=16$

$\sqrt{9}=3$

$\sqrt[3]{8}=2$

Recognise simple powers of 2, 3, 4 and 5.

e.g. $27=3^3$

see also Inverse operations, 1.04a

Calculate with integer powers.

e.g. $2^{-3} = \dfrac{1}{8}$

Calculate with roots.

**Calculate fractional powers.

e.g. $16^{\frac{-3}{4}} = \dfrac{1}{(\sqrt[4]{16})^3} = \dfrac{1}{8}$

Estimate powers and roots.

e.g. $\sqrt{51}$ to the nearest whole number**

see also Simplifying products and quoients, 6.01c

Know and apply:

$a^m × a^n = a^{m+n}$

$a^m ÷ a^n = a^{m-n}$

$(a^m)^n = a^{mn}$

see also Calculations with numbers in standard form, 3.02b, Simplifying products and quotients, 6.01c