1. (i) Write  ${(\frac{2}{3})}^{4t+1}$  in the form  $A{e}^{kt}$, giving the values of $A$ and $k$ to three significant figures where necessary.

(ii) State, and justify, whether this would represent exponential growth or decay.

(iii) Write down the initial value of $A{e}^{kt}$.