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第7頁

信息發(fā)布者:
?$=x^8y^4+x^8y^4$?
?$ =2x^8y^4$?
?$=-8x^6+x^6-9x^6$?
?$ =-16x^6$?
?$=(0.125×0.25)^3×(2^2×2^4)^3$?
?$ =(0.125×0.25×4×16)^3$?
?$ =2^3$?
?$ =8$?
?$ =16a^2b^6-8a^2b^6+2a^2b^6$?
?$ =10a^2b^6$?
解:∵?$x^{n}y = - 1$?
∴?$(x^{3n}y^3)^2=x^{6n}y^6=(x^{n}y)^6=(-1)^6=1$?
解:∵?$20^{n}=(2^2×5)^{n}=(2^2)^{n}×5^{n}=(2^{n})^2×5^{n}$?
又∵?$2^{n}=a,$??$5^{n}=b,$??$20^{n}=c$?
∴?$c = a^2b$?
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$?