Indices, surds and algebraic manipulation

By the end you’ll be able to

• Apply the laws of indices for positive, zero, negative and fractional powers.
• Simplify algebraic expressions involving indices and write answers in equivalent exact forms.
• Simplify surds, including expressions of the form $a\sqrt{b}$, by extracting square factors.
• Rationalise denominators involving monomial and binomial surds.