A scientist is studying the growth of a microscopic organism. Initially, on Day \(0\), its length is \(10^{-5}\) m, which implies that the length after \(x\) days will be \(10^{(x-5)}\) m. The length becomes \(10\) times larger every day.
(i) Write its length at the end of Day \(7\) in exponential form. \(\text{m}\)
(ii) On which day will its length become \(10^{3}\) m?
(iii) If its length became \(100\) times larger every day, what would be its length at the end of Day \(4\)? \(\text{m}\).
(iv) Find the ratio of its length on Day \(11\) to Day \(6\).
(v) If the length \(10^{(6)}\) metres is reduced by a factor of \(10^{2}\), what is the new length? \(\text{m}\)