Thực hiện phép tính: 5.4^15-9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
Thực hiện phép tính: 5.4^15-9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
5.4^15-9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
Thực hiện các phép tính sau một cách hợp lí nhất :
a) 135.1420+45.780.3\3+6+9+...+24+27
b)5.4^15.9^9-4.3^20.8^9\5.2^9.6^19-7.2^29.27^6
Tính 5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
=\(\frac{5\cdot2^{30}\cdot3^{18}-2^2\cdot3^{20}\cdot2^{27}}{5\cdot2^9\cdot\left(2\cdot3\right)^{19}-7\cdot2^{29}\cdot3^{18}}\)=\(\frac{5\cdot2^{30}\cdot3^{18}-3^{20}\cdot2^{29}}{5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)=\(\frac{2^{29}\cdot3^{18}\cdot\left(5\cdot2-3^2\right)}{2^{28}\cdot3^{18}\left(5\cdot3-7\cdot2\right)}\)=2
5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}=\frac{5.2^{30}.3^{18}-2^2.2^{27}.3^{20}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}=\frac{2.1}{1}=2\)
C = 5.4^15.9^9-4.3^20.8^9 / 5.2^9.6^19-7.2^29.27^6
a, (7.6^10.2^20.3^6-2^19.6^15) : (9.6^19.2^9-4.3^17.2^20)
b, (5.4^15.9^9-4.3^20.8^9) : (5.2^9.6^19-7.2^29.27^6)
Tính nhanh:
5.4^15.9^9-4.3^20.8^9
5.2^9.6^19-7.2^29.27^6
A=5.4^15.9^9-4.3^20.8^9
B=5.2^9.6^19-7.2^29.27^6
Tính A:B