How we will do question no.24

(0.000064)^{\frac{5}{4}} \times (0.04)^{\frac{5}{4}} = (0.000064 \times 0.04)^{\frac{5}{4}} [∵ a^{m} \times b^{m} = (a \times b)^{m}] = ((0.2)^{6} \times (0.2)^{2})^{\frac{5}{4}} = ((0.2)^{8})^{\frac{5}{4}} [∵ a^{m} \times a^{n} = a^{m + n}] = (0.2)^{10} [∵ (a^{m})^{n} = a^{m n}] = (\frac{2}{10})^{10} = 2^{10} . 10^{- 10} [∵ (\frac{a}{b})^{m} = \frac{a^{m}}{b^{m}}, \frac{1}{x^{a}} = x^{- a}]

View Full Answer