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A, B, C,... là tên của bài bạn nha
VD: A, 15+x=15
B, 16+14+14+14
\(\frac{7.4^5.3^{11}+2^{13}.9^5}{6^{10}+2^{12}.3^{10}}=\frac{7.\left(2^2\right)^5.3^{11}+2^{13}.\left(3^2\right)^5}{\left(2.3\right)^{10}+2^{12}.3^{10}}=\frac{7.2^{10}.3^{11}+2^{13}.3^{10}}{2^{10}.3^{10}+2^{12}.3^{10}}\)
\(=\frac{2^{10}.3^{10}.\left(7.3+2^3\right)}{2^{10}.3^{10}.\left(1+2^2\right)}=\frac{7.3+2^3}{1+2^2}=\frac{29}{5}\)
A) \(\frac{8^{15}.3^{17}}{4^{23}.9^9}=\frac{2^{45}.3^{17}}{2^{46}.3^{18}}=\frac{2^{45}.3^{17}}{2^{45}.3^{17}.\left(2.3\right)}=\frac{1}{6}\)
B)\(\frac{28^{15}.3^{17}}{84^{16}}=\frac{\left(2^2.7\right)^{15}.3^{17}}{\left(2^2.3.7\right)^{16}}=\frac{2^{30}.7^{15}.3^{17}}{2^{32}.3^{16}.7^{16}}=\frac{2^{30}.7^{15}.3^{16}.3}{2^{30}.7^{15}.3^{16}.\left(2^2.7\right)}=\frac{3}{28}\)
C) \(\frac{3^{10}+6^2}{5.3^8+20}=\frac{3^{10}+2^2.3^2}{5.3^8+2^2.5}=\frac{3^2.\left(3^8+2^2\right)}{5.\left(3^8+2^2\right)}=\frac{9}{5}\)
D) \(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.3^6}{2^5.3^5.2^6}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{2^7.3^5.3}{2^7.3^5.2^4}=\frac{3}{16}\)
F) \(\frac{5^4.20^4}{25^4.4^5}=\frac{5^4.\left(2^2.5\right)^4}{\left(5^2\right)^4.\left(2^2\right)^5}=\frac{5^4.2^8.5^4}{5^8.2^{10}}=\frac{5^8.2^8}{5^8.2^8.2^2}=\frac{1}{4}\)
G) \(\frac{5^5+25^2+5^2}{-151}=\frac{5^5+5^4+5^2}{-151}=\frac{5^2.\left(5^3+5^2+1\right)}{-151}=\frac{25.151}{-151}=-25\)
A,\(\frac{8^{15}.3^{17}}{4^{23}.9^9}=\frac{\left(2^3\right)^{15}.3^{17}}{\left(2^2\right)^{23}.\left(3^2\right)^9}=\frac{2^{45}.3^{17}}{2^{46}.3^{18}}=\frac{1.1}{2.3}=\frac{1}{6}\)
B,\(\frac{28^{15}.3^{17}}{84^{16}}=\frac{28^{15}.3^{17}}{28^{16}.3^{16}}=\frac{1.3}{28.1}=\frac{3}{28}\)
C,\(\frac{3^{10}+6^2}{5.3^8+20}=\frac{3^{10}+3^2.2^2}{5.3^8+5.2^2}=\frac{3^2.\left(3^8+2^2\right)}{5.\left(3^8+2^2\right)}=\frac{3^2}{5}=\frac{9}{5}\)
D,\(\frac{2^7.9^3}{6^5.8^2}=\frac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\frac{2^7.3^6}{2^{11}.3^5}=\frac{3}{2^4}=\frac{3}{16}\)
F,\(\frac{5^4.20^4}{25^4.4^5}=\frac{5^4.5^4.4^4}{\left(5^2\right)^4.4^5}=\frac{5^8.4^9}{5^8.4^5}=\frac{1}{4}\)
G,xin lỗi mik ko lm đc câu này.
Nhưng mik cũng đã cố gắng làm giúp bn mấy câu trên. k cho mik nha.
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\frac{5^{20}.3^{29}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}=\frac{3^{29}.5^{18}.\left(25-9\right)}{3^{29}.5^{18}.\left(7-5\right)}=\frac{16}{2}=8\)
CÁC BÀI CÒN LẠI TƯƠNG TỰ HẾT NHÉ E
Phân tích ra : VD : 415=(22)15=22.15=230
Nếu làm thế này thì sẽ dể hơn vì sẽ có nhiều lũy thừa giống nhau và dễ chiệt tiêu hơn nhé bạn >
1) \(\frac{3^{10}+6^2}{5\cdot3^8+20}=\frac{3^{10}+3^2\cdot2^2}{5\cdot3^8+5\cdot2^2}=\frac{3^2\left(3^8+2^2\right)}{5\left(3^8+2^2\right)}=\frac{9}{5}\)
2) \(\frac{28^{15}\cdot3^{17}}{84^{16}}=\frac{28^{15}\cdot3^{17}}{28^{16}\cdot3^{16}}=\frac{3}{28}\)
mình cần cách làm nha các bạn , giúp mình với !