(i)\(\frac{2}{5}\)÷ \(\frac{1}{2}\) = \(\frac{2}{5}\) × 2 = \(\frac{4}{5}\)
(ii) \(\frac{4}{9}\) ÷ \(\frac{2}{3}\) = \(\frac{4}{9}\) × \(\frac{3}{2}\) = \(\frac{2}{3}\)
(iii) \(\frac{3}{7}\) ÷ \(\frac{8}{7}\) = \(\frac{3}{7}\)× \(\frac{7}{8}\) =\(\frac{3}{8}\)
(iv) 2\(\frac{1}{3}\) ÷ \(\frac{3}{5}\) = \(\frac{7}{3}\) ÷ \(\frac{3}{5}\) = \(\frac{7}{3}\) ×\(\frac{5}{3}\) = \(\frac{35}{9}\)
(v) 3 \(\frac{1}{2}\) ÷ \(\frac{8}{3}\) = \(\frac{7}{2}\) ÷ \(\frac{8}{3}\) = \(\frac{7}{2}\) × \(\frac{3}{8}\) = \(\frac{21}{16}\)
(vi) \(\frac{2}{5}\) ÷ 1\(\frac{1}{2}\)= \(\frac{2}{5}\) ÷ \(\frac{3}{2}\) = \(\frac{2}{5}\) × \(\frac{2}{3}\) = \(\frac{4}{15}\)
(vii) 3 \(\frac{1}{5}\) ÷ 1 \(\frac{2}{3}\) = \(\frac{16}{5}\) ÷ \(\frac{5}{3}\) = \(\frac{16}{5}\) × \(\frac{3}{5}\) = \(\frac{48}{25}\)
(viii) 2\(\frac{1}{5}\) ÷ 1\(\frac{1}{5}\) = \(\frac{11}{5}\) ÷ \(\frac{6}{5}\) = \(\frac{11}{5}\) × \(\frac{5}{6}\) = \(\frac{11}{6}\)
Using laws of exponents, simplify and write the answer in exponential form:
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a3 × a2 (iv) 7x×72 (v) (52) ÷ 53 (vi) 25 × 55 (vii) a4 × b4 (viii) (34)3(ix) (220 ÷ 215)×23 (x) 8t ÷ 82