作业帮求[﹙1995^6+1995^5+1995^4+1995^3+1995^2+1996﹚×1994+1]÷1995^7
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求[﹙1995^6+1995^5+1995^4+1995^3+1995^2+1996﹚×1994+1]÷1995^7
求[﹙1995^6+1995^5+1995^4+1995^3+1995^2+1996﹚×1994+1]÷1995^7
求[﹙1995^6+1995^5+1995^4+1995^3+1995^2+1996﹚×1994+1]÷1995^7
[﹙1995^6+1995^5+1995^4+1995^3+1995^2+1996﹚×1994+1]÷1995^7
=[1995^6×1994+1995^5×1994+1995^4×1994+1995^3×1994+1995^2×1994+1996×1994+1]÷1995^7
=[1995^6×(1995-1)+1995^5×(1995-1)+1995^4×(1995-1)+1995^3×(1995-1)+1995^2×(1995-1)+(1995+1)×(1995-1)+1]÷1995^7
=(1995^7-1995^6+1995^6-...-1995^2+1995^2-1+1)÷1995^7
=1995^7÷1995^7
=1
1995^6+1995^5+1995^4+1995^3+1995^2+1996
=1995^6+1995^5+1995^4+1995^3+1995^2+1995+1
=1995(1-1995^6)/(1-1995)+1
=1995(1995^6-1)/1994+1
=1995*1995^6/1994-1995/1994+1
=1995^7/1994-1/1994
原式=[(1995^7/1994-1/1994)×1994+1]÷1995^7
=(1995^7-1+1)÷1995^7
=1