\(\dfrac{2^5.3^{16}+2^{15}.3^6}{2^{11}.3^{16}+2^{21}.3^6}=\dfrac{2^5.3^6.\left(3^{10}+2^{10}\right)}{2^{11}.3^6.\left(3^{10}+2^{10}\right)}=\dfrac{1.1.1}{2^6.1.1}=\dfrac{1}{64}\)
\(\dfrac{2^5.3^{16}+2^{15}.3^6}{2^{11}.3^{16}+2^{21}.3^6}=\dfrac{2^5.3^6.\left(3^{10}+2^{10}\right)}{2^{11}.3^6.\left(3^{10}+2^{10}\right)}=\dfrac{1.1.1}{2^6.1.1}=\dfrac{1}{64}\)
Thực hiện phép tính bằng cách hợp lí ( nếu có thể ):
D\(=\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}\)
\(\dfrac{-5}{21}+(\dfrac{-16}{21}+1)\)
\(\dfrac{-3}{8}.\dfrac{1}{6}+\dfrac{3}{-8}.\dfrac{5}{6}+\dfrac{-10}{16}\)
tính:
a) \(\dfrac{-6}{21}.\dfrac{3}{2}\)
b) \(-3.\left(-\dfrac{7}{12}\right)\)
c) \(\left(\dfrac{11}{12}:\dfrac{33}{16}\right).\dfrac{3}{5}\)
Tìm x :
a)\(\dfrac{x-1}{50}+\dfrac{x-2}{49}=\dfrac{x-3}{48}+\dfrac{x-4}{47}\)
b)\(\dfrac{x+25}{6}+\dfrac{x+20}{11}+\dfrac{x+16}{15}+3=0\)
c)\(\dfrac{x-15}{6}+\dfrac{x-10}{11}=\dfrac{x-3}{18}+\dfrac{x-7}{14}\)
1,\(\dfrac{3}{16}\)- ( x - \(\dfrac{5}{4}\) ) - ( \(\dfrac{3}{4}\) + \(\dfrac{-7}{8}\) - 1 ) = \(2\dfrac{1}{2}\)
2,\(\dfrac{1}{2}\) . ( \(\dfrac{1}{6}\) - \(\dfrac{9}{10}\) ) = \(\dfrac{1}{5}\) - x + ( \(\dfrac{1}{15}\) - \(\dfrac{-1}{5}\) )
Giúp mik nhanh với ạ
Đề bài: So sánh các số hữu tỉ sau:
a)\(\dfrac{-13}{40}và\dfrac{12}{-40}\)
b)\(\dfrac{-5}{6}và\dfrac{-91}{104}\)
c)\(\dfrac{-15}{21}và\dfrac{-36}{44}\)
d)\(\dfrac{-16}{30}và\dfrac{-35}{84}\)
e)\(\dfrac{-5}{91}và\dfrac{-501}{9191}\)
f)\(\dfrac{-11}{3^7.7^3}và\dfrac{-78}{3^7.7^4}\)
giúp mik nha!!!
\(\dfrac{4}{9}.19\dfrac{1}{3}+\dfrac{-4}{9}.39\dfrac{1}{3}+\dfrac{-3^2}{5}:\left(-0,2\right)\)
\(\dfrac{\left(-5^3\right)^2}{27}.\dfrac{3}{23}.\dfrac{6^2}{-5^6}\)
\(1\dfrac{4}{23}+\dfrac{5}{21}-\dfrac{4}{23}+0,5+\dfrac{16}{21}\)
\(\dfrac{3}{7}.19\dfrac{1}{3}-\dfrac{3}{7}:33\dfrac{1}{3}\)
\(\dfrac{3}{4}-\left(x+\dfrac{1}{2}\right)=\dfrac{4}{5}\)
x:(-2,14)=(-3,12):1,2
Tính bằng cách hợp lí :
A=\(\dfrac{5}{9}:\left(\dfrac{1}{11}-\dfrac{5}{2}\right)+\dfrac{5}{9}:\left(\dfrac{1}{15}-\dfrac{2}{3}\right)\)
B=\(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)
Q = \(\dfrac{1}{2}+\dfrac{3}{4}+\dfrac{7}{8}+\dfrac{15}{16}+\dfrac{31}{32}+\dfrac{63}{64}+\dfrac{127}{128}-6\)