Find $an$ exponential function $of$ the form $P(t)=P_0{n}^{\frac{t}{T}}$ that models the situation.

The exponential function $isP(t)=4500*3^{\frac{t}{6}}.$

$(Use$ integers $or$ fractions for any numbers $in$ the expression.$)$

Find the equivalent exponential model $of$ the form $P(t)=P_0{e}^{rt}.$

The exponential model $isP(t)=4500e^e$

$0\mathrm{.}1823$

$(Roundto$ four decimal places $as$ needed.$)$