C=2^19.27^3+15.49.9^4
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6^9.2^10+12^10
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17 tháng 9 2021 lúc 8:36
2^19.27^3+15.4^9.9^4/6^9.2^10+12^10
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Rút Gọn \(\frac{2^{19}.27^3+15.49.9^4}{6^9.2^{10}+2^{12}}\)
Tính
A=-45 .58 -45.42
2+4+6+...+18
B=2^19.27^3+15.4^9.9^4
6^9.2^10+12^10
A= (1/3-1).(1/6-1).(1/10-1).(1/15-1)....(1/1225-1).(1/1275-1)
B=2^19.27^3-15.4^9.9^4 / 6^9.2^10-12^10
RÚT GỌN: 2^19.27^3+15.4^9.9^4 phần 6^9.2^10+2^10
Rút gọn A= 2^19 x 27^3 + 15 x 4^9 x 9^4 / 6^9 x 2^10 + 2^10
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Rút gọn :
2^19+15.49.9^4/ 6^9.2^10.12^19
\(\dfrac{2^{19}.27^3-15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(=\dfrac{2^{19}.\left(3^3\right)^3-3.5.\left(2^2\right)^9.\left(3^2\right)^4}{\left(2.3\right)^9.2^{10}+\left(3.2^2\right)^{10}}=\dfrac{2^{19}.3^9-5.2^{18}.3^9}{2^{19}.3^9+2^{20}.3^{10}}=\dfrac{2^{18}.3^9\left(2-5\right)}{2^{19}.3^9\left(1+6\right)}=\dfrac{-3}{2.7}=-\dfrac{3}{14}\)
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A=2^19.2^7^3-15.(-4)^9.9^4/6^9.2^10+(-12)^10
rút gọn biểu thức:
C=\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}=\frac{2^{19}.3^9+5.2^{18}.3^9}{2^{10}.6^9+2^{10}.6^{10}}=\frac{2^{18}.3^9.\left(2+5\right)}{2^{10}.6^9\left(1+6\right)}=\frac{2^{18}.3^9.7}{2^{10}.6^9.7}=2^8.\left(\frac{1}{2}\right)^9=2^8.\frac{9}{2^9}=\frac{1}{2}.9=\frac{9}{2}\)Vậy C=\(\frac{9}{2}\)
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