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?$ =-4+4×1-4$?

?$ =-4$?

?$ =-1-\frac 12×\frac 13×[2-9]$?

?$ =-1-\frac 16×(-7)$?

?$=-1+\frac 76$?

?$ =\frac 16$?

?$ =-9+(-8)×5-(-0.125)÷\frac 18$?

?$ =-9-40+0.125×8$?

?$ =-48$?

解：?$9^{m}={(3^2)}^{m}=3^{2m}$?

?$3×9^{m}×{27}^{m}=3×3^{2m}×3^{3m}=3^{5m+1}$?

∵?$3×9^{m}×{27}^{m}=3^{21}$?

∴?$3^{5m+1}=3^{21}$?

∴?$5m+1=21$?

∴?$m=4$?

解：?$x^2·x^{2n}·{(y^{n})}^2=x^2·x^{2n}·y^{2n}=x^2·{xy}^{2n}$?

∵?$x=-5，$??$y=\frac {1} {5}$?

∴原式?$=x^2·{xy}^{2n}={(-5)}^2·{(-5×\frac {1} {5})}^{2n}={(-5)}^2·{(-1)}^{2n}=25$?

解：可以比較

?$ 2^{100}={(2^4)}^{25}={16}^{25}，$??$3^{75}={(3^3)}^{25}={27}^{25}$?

∵?$16<27$?

∴?${16}^{25}<{27}^{25}$?

∴?$2^{100}<3^{75}$?

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