解:?$(1)2^{18}×3^{10}=2^{10}×3^{10}×2^8,$??$2^{10}×3^{15}=2^{10}×3^{10}×3^5$?
∵?$2^8=256,$??$3^5=243,$??$256>243,$?即?$2^8>3^5$?
∴?$2^{18}×3^{10}>2^{10}×3^{15}$?
?$ (2)\ \mathrm {P}=\frac {99^9}{9^{99}}=\frac {(9×11)^9}{9^9×9^{90}}=\frac {9^9×11^9}{9^9×9^{90}}=\frac {11^9}{9^{90}}$?
∵?$Q = \frac {11^9}{9^{90}}$?
∴?$P = Q$?