Question

[Trịnh Linh]

Cho:

a) A = 5 . 4^15 . 9^9 - 4 . 3^20 . 8^9 và B = 5.2^9.6^19-7.2^29.27^6

Tính A : B

b) C = 2181.729+243.81.27 và D = 3^2.9^2.243+18.243.324+723.729

Answer 1

[Nguyễn Thùy Dương]

\(A=5.4^{15}.9^9-4.3^{20}.8^9\\ =5.2^{30}.3^{18}-3^{20}.2^{29}\\ B=5.2^9.6^{19}-7.2^{29}.27^6\\=5.2^{28}.3^{19}-7.2^{^{29}}.3^{18}\\ \Rightarrow A:B=\left(5.2^{30}.3^{18}-3^{20}.2^{29}\right):\left(5.2^{28}.3^{19}-7.2^{^{29}}.3^{18}\right)\\ =\dfrac{2^2-3^2}{3-7}=\dfrac{4-9}{-4}=\dfrac{5}{4}\)