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a,
\(\left(25^6-15^6-10^6\right):5^6\\ =\left[\left(5\cdot5\right)^6-\left(3\cdot5\right)^6-\left(2\cdot5\right)^6\right]:5^6\\ =\left(5^6\cdot5^6-3^6\cdot5^6-2^6\cdot5^6\right):5^6\\ =5^6\left(5^6-3^6-2^6\right):5^6\\ =5^6-3^6-2^6\\ =15625-729-64\\ =14896-64\\ =14832\)
b,
\(1+2+2^2+...+2^{100}\\ =1\cdot\left(1+2+2^2+...+2^{100}\right)\\ =\left(2-1\right)\left(1+2+2^2+...+2^{100}\right)=\left(2-1\right)\cdot1+\left(2-1\right)\cdot2+\left(2-1\right)\cdot2^2+...+\left(2-1\right)\cdot2^{100}\\ =2-1+2^2-2+2^3-2^2+...+2^{101}-2^{100}\\ =2^{101}-1\)
a. 3/7+(-5/2)+(-3/5)
= 3/7-5/2-3/5
=30/70-175/70-42/70
=-145/70-42/70
=-187/70
b. -8/18-15/27
= -4/9-15/27
= -12/27-15/27
= -27/27
= -1
c. 4/5-(-2/7)-7/10
=4/5+2/7-7/10
=56/70+20/70-49/70
=76/70-49/70
=27/70
d. 3,5-(-2/7)
=7/2-(-2/7)
=7/2+2/7
=49/14+4/14
=53/114
a) \(-\frac{10}{11}.\frac{8}{9}+\frac{1}{18}\left(-\frac{10}{11}\right)\)
\(=\left(-\frac{10}{11}\right)^2.\left(\frac{8}{9}+\frac{1}{18}\right)\)
\(=\frac{100}{121}.\frac{17}{18}\)
\(=\frac{850}{1089}\)
bn ghi sai đề rồi
a 10/11x-8/9+7/18x10/11
10/11x(-8/9+7/18)
10/11x-1/9=-10/99
sorry mình ko biết làm câu b
a) \(\left(2\frac{5}{6}+1\frac{4}{9}\right):\left(10\frac{1}{12}-9\frac{1}{2}\right)\)
\(=\left(\frac{17}{6}+\frac{13}{9}\right):\left(\frac{121}{12}-\frac{19}{2}\right)\)
\(=\frac{77}{18}:\frac{7}{12}\)
\(=\frac{22}{3}\)
b) \(1\frac{5}{18}-\frac{5}{18}.\left(\frac{1}{15}+1\frac{1}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\left(\frac{1}{15}+\frac{13}{12}\right)\)
\(=\frac{23}{18}-\frac{5}{18}.\frac{23}{20}\)
\(=\frac{23}{18}-\frac{23}{72}\)
\(=\frac{23}{24}\)
c) \(-1\frac{1}{7}.\left(9\frac{1}{2}-8,75\right):\frac{2}{7}+0,625:1\frac{2}{3}\)
\(=\frac{-8}{7}.\left(\frac{19}{2}-\frac{35}{4}\right):\frac{2}{7}+\frac{5}{8}:\frac{5}{3}\)
\(=\frac{-8}{7}.\frac{3}{4}:\frac{2}{7}+\frac{3}{8}\)
\(=\frac{-8}{7}.\frac{3}{4}.\frac{7}{2}+\frac{3}{8}\)
\(=-3+\frac{3}{8}\)
\(=\frac{-21}{8}\)
Chúc bn học tốt !!
=???
=100
67
Ko biết
67
Vậy kết quả của phép tính là 100.
100