3.4 Negative and fractional indices — Practise

Work independently. Questions and answers are shown together at the end.

1. H Work out $49^{1/2}$.
2. H Work out $125^{1/3}$.
3. H Work out $64^{2/3}$.
4. H Work out $16^{-1/2}$.
5. H Work out $32^{-2/5}$.
6. H Simplify $a^{1/2}a^{3/2}$.
7. H Solve $x^{1/2}=6$ for positive $x$.
8. H Write $\\frac{1}{\\sqrt[3]{b^2}}$ using a fractional index.