Tính giá trị các biểu thức sau 1 cách hợp lý:
a) A= 2018.20172017-2017.20182018
b) \(\frac{423134\times846267-423133}{423133\times846267+423134}\)
c) B= \(\frac{135\times1420+45\times780\times3}{3+6+9+12+...+24+27}\)
d) C= \(\frac{24347\times78-26\times4\times3\times6000}{4+5+6+7+...+24+25+28}\)
e) \(\frac{1978\times1979+1980\times21+1958}{1980\times1979-1978\times1979}\)
f) \(\left(12\times194+6\times437\times2+3\times369\times4\right)\div\left(1+5+9+13+...+57+61+65\times2-26\right)\)
Bài 1:
A=\(\frac{13,5\times1420+4,5\times789\times3}{3+6+9+...+24+27}\)
Bài 2: Chứng minh: A=\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{2018^2}\)không là số tự nhiên.
\(\orbr{\frac{2^{10}\times3^8+6^8\times20}{2\times6^9-4^5\times9^4}}\)
\(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}-\frac{-16}{24}+\frac{2}{3}\)
Rut gon: \(A=\frac{9+\frac{9}{11}+\frac{18}{23}-\frac{27}{27}}{8+\frac{8}{11}+\frac{16}{23}-\frac{24}{37}}-\frac{2+\frac{16}{29}-\frac{24}{13}-\frac{32}{11}}{3+\frac{24}{29}-\frac{36}{13}-\frac{48}{11}}\)
a, tính:\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
b, tìm x biết:\(1\frac{1}{30}:(24\frac{1}{6}-24\frac{1}{5})-\frac{1\frac{1}{2}-\frac{3}{4}}{4x-\frac{1}{2}}=(-1\frac{1}{5}):(8\frac{1}{5}-8\frac{1}{3})\)
a. \(\frac{3^2\times64^2-12^2\times16^2\times19+51\times33}{3+6+9+...+96+99}\)
b. \(\frac{6^3\times9^7\times4^3-16^2\times81^4}{\left(24\times3\right)^2}\)
c. \(\frac{21\times5^{21}\times5^8-25^{13}}{\left(4\times5^{14}\right)^2}\)
d. \(\frac{81^4\times3^{10}\times27^5\div3^{12}}{9^9\div9^3\times243^3}\)
e. \(\frac{18^6\div2^{11}\div9^3\times4^3}{32^2\div6^9\times3^6}\)
Bài 1:
a, \(\frac{2}{5}.\frac{1}{3}-\frac{2}{15}:\frac{1}{5} +\frac{3}{5}.\frac{1}{3}\)
b, \(\frac{9}{27}+\frac{8}{24}+\frac{18}{27}-\frac{-16}{24}+\frac{2}{3}\)
c,\(\left(4-\frac{5}{12}\right):2+\frac{5}{24}\)
Thực hiện phép tính:
a)\(1\times2\times3\times......\times9-1\times2\times3\times......\times8-1\times2\times3\times.....\times8\times8\)
b)\(B=\frac{\left(3\times4\times2^{16}\right)^2}{11\times2^{13}\times4^{11}-16^9}\)
c)\(C=70\times\left(\frac{131313}{565656}+\frac{131313}{727272}+\frac{131313}{909090}\right)\)
d)\(B=\frac{1}{4\times9}+\frac{1}{9\times14}+\frac{1}{14\times19}+...+\frac{1}{64\times69}\)
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