5.4^15 9^9 - 4. 3^20.8^9
5.2^9.6^19-7.2^29.27^6
Những câu hỏi liên quan
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
Thực hiện phép tính: 5.4^15-9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
đề bài \(\frac{5\cdot4^{15}\cdot\left(-9\right)^9-4\cdot3^{20}\cdot8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
Giải:
\(\frac{5\cdot4^{15}\cdot\left(-9\right)^9-4\cdot3^{20}\cdot8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)=\(\frac{5.\left(2^2\right)^{15}.\left(-3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6}=\frac{-5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
=\(\frac{-5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
=\(\frac{-2^{29}.3^{18}.\left(5.2+3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)
=\(\frac{-2^{29}.3^{18}.19}{2^{28}.3^{18}.1}\)
=\(=-2.19=-38\)
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5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}=\frac{5.2^{30}.3^{18}-2^2.2^{27}.3^{20}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}=\frac{2.1}{1}=2\)
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C = 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
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)
Rút gọn: 5.4^15.9^9-4.3^20.8^9/5.2^9.6^19-7.2^29.27^6.
\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
\(=\frac{5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)
\(=\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)
\(=\frac{2.\left(5.2-3^2\right)}{5.3-7.2}=\frac{2.\left(5.2-3^2\right)}{15-14}=2.\left(5.2-3^2\right)\)
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5.415.99−4.320.895.29.619−7.229.276
=5.(22)15.(32)9−22.320.(23)95.29.(2.3)19−7.229.(33)6
=5.230.318−229.3205.228.319−7.229.318
=229.318.(5.2−32)228.318.(5.3−7.2)
=2.(5.2−32)5.3−7.2 =2.(5.2−32)15−14 =2.(5.2−32)
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= 2 nha bn
cho mik nha
thanks
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1) tính
5.4^15.9^9-4x3^20.8^9/5.2^9.6^19-7.2^29.27^6
