Indices, roots and standard form

By the end you’ll be able to

• Apply the laws of indices $a^m \times a^n = a^{m+n}$, $a^m \div a^n = a^{m-n}$ and $(a^m)^n = a^{mn}$ to numbers and algebra
• Evaluate zero, negative and fractional indices exactly without a calculator, e.g. $27^{-2/3} = \frac{1}{9}$ (Higher)
• Write numbers in standard form $A \times 10^n$ with $1 \le A < 10$, and multiply, divide, add and subtract in standard form with and without a calculator