Tính nhanh à bạn

=> A=\(\)\(\frac{5^2.6^9.10+6^5.2^3.15^3}{5^2.6^8.10-2.6^8.10^3}=\frac{5^2.6^9.2.5+6^5.2^3.\left(3.5\right)^3}{5^2.6^8.2.5-2.6^8.\left(2.5\right)^3}\)

\(\Rightarrow A=\frac{5^3.6^9.2+6^5.2^3.3^3.5^3}{5^3.6^8.2-2.6^8.2^3.5^3}=\frac{5^3.6^9.2+\left(2.3\right)^3.5^3}{5^3.6^8.2-2^4.6^8.5^3}\)

\(\Rightarrow A=\frac{5^3.6^8.6.2+6^8.5^3}{5^3.6^8.2-2^4.6^8.5^3}=\frac{5^3.6^8.\left(6.2+1\right)}{5^3.6^8.\left(2-2^4\right)}\)

\(\Rightarrow A=\frac{6.2+1}{2-2^4}=\frac{12+1}{-14}=\frac{13}{-14}\)

\(=\dfrac{5^2\cdot2^9\cdot3^9\cdot2\cdot5+2^5\cdot2^3\cdot3^5\cdot5^3\cdot3^3}{5^2\cdot2^8\cdot3^8\cdot2\cdot5-2\cdot2^8\cdot3^8\cdot2^3\cdot5^3}\)

\(=\dfrac{5^3\cdot2^{10}\cdot3^9+5^3\cdot2^8\cdot3^8}{5^3\cdot2^9\cdot3^8-5^3\cdot2^{12}\cdot3^8}\)

\(=\dfrac{5^3\cdot2^8\cdot3^8\left(2^2\cdot3+1\right)}{5^3\cdot2^9\cdot3^8\left(1-2^3\cdot1\right)}=\dfrac{1}{2}\cdot\dfrac{13}{1-9}=-\dfrac{13}{16}\)

= -14/13

43.3/2.5-19.3/2.6=9.230769231

nho k cho minh nhe ban 

chuc ban hoc tot hon nheco len nhe ban

do dau nhan hay dau phay vay

43.3:2.6-19.3:2.6=(43.3-19.3):2.6

=72:18

=4

tk nha vhuc cau hoc gioi

Có: \(\dfrac{5^2.6^9.10+6^5.2^3.15^3}{5^2.6^8.10-2.6^8.10}=\dfrac{5^2.2^9.3^9.2.5+2^5.3^5.2^3.3^3.5^3}{5^2.2^8.3^8.2.5-2.2^8.3^8.2^3.5^3}\)

=\(\dfrac{2^{10}.3^95^3+2^8.3^8.5^3}{2^9.3^8.5^3-2^{12}.3^8.5^3}=\dfrac{2^8.3^8.5^3.\left(12+1\right)}{2^8.3^8.5^3\left(2-16\right)}\)

= \(\dfrac{12+1}{2-16}=\dfrac{-13}{14}\)

\(=\frac{5^2.2^{11}.3^{11}.\left(2^4\right)^2.2^2.3^2.3^6.\left(2^2\right)^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4.\left(3^4\right)^2.2^{18}.3^3.5^3}=\frac{2^{33}.3^{21}.5^4}{2^{35}.3^{23}.5^7}=\frac{1}{2^2.3^2.5^3}\)

=\(\frac{1}{4500}\)

\(\frac{5^2.6^{11}.16^26^2.12^6.15^2}{2.6^{12}.10^4.81^2.960^3}=\frac{5.6^{11}.6^2.6^2.6^6.2^6.3^2.5^2}{2.2^{12}.3^{12}.2^4.5^4.3^8.2^{15}.3^3}\)=\(\frac{5^6.6^{21}.2^8.3^2}{2^{32}.3^{23}.5^4}=\frac{5^6.2^{23}.2^{29}}{2^{32}.3^{23}.5^4}=\frac{5^6.2^{52}}{2^{32}.3^{23}.5^4}=\frac{5^2.2^{20}}{3^{23}}\)

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