Tính giá trị biểu thức sau(hợp lý nếu có thể)
(1+2^2+3^3+...+2015^2015)×(4×35-2,70)×(1/2+1/6+1/12+1/30)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
1+(-2)+3+(-4)+5+(-6)+...+21+(-22)=[1+(-2)]+[3+(-4)]+...+[21+(-22)]
-----------11 cặp----------------------
=(-1)+(-1)+...+(-1)=(-1).11=-11
a) \(\frac{{ - 3}}{7}.\frac{2}{5} + \frac{2}{5}.\left( { - \frac{5}{{14}}} \right) - \frac{{18}}{{35}}\)
\(\begin{array}{l} = \frac{2}{5}.\left( {\frac{{ - 3}}{7} + \frac{{ - 5}}{{14}}} \right) - \frac{{18}}{{35}}\\ = \frac{2}{5}.\left( {\frac{{ - 6}}{{14}} + \frac{{ - 5}}{{14}}} \right) - \frac{{18}}{{35}}\\ = \frac{2}{5}.\frac{{ - 11}}{{14}} - \frac{{18}}{{35}} = \frac{{ - 11}}{{35}} - \frac{{18}}{{35}} = \frac{{ -29}}{{35}}\end{array}\)
b) \(\left( {\frac{2}{3} - \frac{5}{{11}} + \frac{1}{4}} \right):\left( {1 + \frac{5}{{12}} - \frac{7}{{11}}} \right)\)
\(\begin{array}{l} = \left( {\frac{{2.11.4}}{{3.11.4}} - \frac{{5.3.4}}{{11.3.4}} + \frac{{1.3.11}}{{4.3.11}}} \right):\left( {\frac{11.12}{11.12} + \frac{{5.11}}{{12.11}} - \frac{{7.12}}{{11.12}}} \right)\\ = \left( {\frac{{88 - 60 + 33}}{{121}}} \right):\left( { \frac{{121+55 - 84}}{{121}}} \right)\\ = \frac{{61}}{{121}}:\frac{{92}}{{121}} = \frac{{61}}{{121}}.\frac{{121}}{{92}}= \frac{{61}}{{92}}\end{array}\)
c) \(\left( {13,6 - 37,8} \right).\left( { - 3,2} \right)\)
\( = \left( { - 24,2} \right).\left( { - 3,2} \right) = 77,44\)
d) \(\left( { - 25,4} \right).\left( {18,5 + 43,6 - 16,8} \right):12,7\)
\(\begin{array}{l} = \left( { - 25,4} \right).\left( {62,1 - 16,8} \right):12,7\\ = \left( { - 25,4} \right).45,3:12,7\\ = \left( { - 25,4} \right):12,7.45,3\\ = (- 2).45,3 = - 90,6\end{array}\)
a: \(=\dfrac{2}{5}\cdot\left(-\dfrac{3}{7}-\dfrac{5}{14}\right)-\dfrac{18}{35}\)
\(=\dfrac{2}{5}\cdot\dfrac{-6-5}{14}-\dfrac{18}{35}\)
\(=\dfrac{2}{5}\cdot\dfrac{-11}{14}-\dfrac{18}{35}=-\dfrac{22}{70}-\dfrac{18}{35}=\dfrac{-58}{70}=-\dfrac{29}{35}\)
b: \(=\dfrac{88-60+33}{132}:\dfrac{132+55-84}{132}\)
\(=\dfrac{61}{132}\cdot\dfrac{132}{103}=\dfrac{61}{103}\)
c: \(=-24.2\cdot\left(-3.2\right)=24.2\cdot3.2=77.44\)
d: \(=\dfrac{-25.4}{12.7}\cdot45.3=-2\cdot45.3=-90.6\)
Tự học giúp bạn có được một gia tài
Jim Rohn – Triết lý cuộc đời
\(B=\left(\frac{1}{2}\right)^{2015}.\left(\frac{2}{3}\right)^{2016}.\left(-3\right)^{2015}\)
\(B=\left(-3\right)^{2015}.\left(\frac{2}{3}\right)^{2016}.\frac{1}{2^{2015}}\)
\(B=\left(-3\right)^{2015}.\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}\)
\(B=\left(-3^{2015}\right).\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}\)
\(B=-\frac{1}{2^{2015}}.\frac{2^{2016}}{3^{2016}}.3^{2015}\)
\(B=-\frac{1.2^{2016}.3^{2015}}{2^{2015}.3^{2016}}\)
\(B=-\frac{2^{2016}.3^{2015}}{3^{2016}.2^{2015}}\)
\(B=\frac{3^{2015}.2}{3^{2016}}\)
\(B=-\frac{2}{3}\)
biểu thức 1 ghép 4 số
vào 1 cặp
mỗi cặp có giá trị là 4
:))))))