An isolated population on an island has the following genotypic frequencies: $$\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequency} & 0.3 & 0.4 & 0.3 \\ \hline \end{array}$$ Assuming that there are only two alleles ($A$ and $a$) for the gene, the genotypic frequency of $AA$ in the next generation will be __________