Simplify and express the result in power notation with positive exponent. (i) \[{{(-4)}^{5}}\div {{(-4)}^{8}}\] (ii) \[{{\left( \frac{1}{{{2}^{3}}} \right)}^{2}}\] (iii) \[{{(-3)}^{4}}\,\times {{\left( \frac{5}{3} \right)}^{4}}\] (iv) \[({{3}^{-7}}\div {{3}^{-10}})\times {{3}^{-5}}\] (v) \[{{2}^{-3}}\times \,{{(-7)}^{-3}}\]
Express the number appearing in the following statements in standard form: (i) 1 micron is equal to \[=\frac{1}{1000000}m\]. (ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb. (iii) Size of a bacteria is 0.0000005 m (iv) Size of a plant cell is 0.00001275 m (v) Thickness of a thick paper is 0.07