Tính giá trị biểu thức
4/5-2/5x1/4 1/4+3/4;1/8
11/10-2/5:1/3
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\(A=x^5-5x^4+5x^3-5x^2+5x\)
\(=x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x+1\right)x\)
\(=x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x\)
\(=x\)
\(=4\)
\(\frac{2}{5}-\frac{1}{7}+\frac{3}{5}.\frac{1}{3}=\frac{14}{35}-\frac{5}{35}+\frac{7}{35}=\frac{16}{35}\)
\(\frac{2}{5}-\frac{1}{7}+\frac{3}{5}\times\frac{1}{3}\)
\(=\frac{2}{5}-\frac{1}{7}+\frac{1}{5}\)
\(=\frac{9}{35}+\frac{1}{5}\)
\(=\frac{16}{35}\)
\(\dfrac{11}{2}\): \(\dfrac{1}{4}\) \(\times\) \(\dfrac{5}{3}\)
= \(\dfrac{11}{2}\) \(\times\) \(\dfrac{4}{1}\) \(\times\) \(\dfrac{5}{3}\)
= 22 \(\times\) \(\dfrac{5}{3}\)
= \(\dfrac{110}{3}\)
\(\dfrac{5}{2}-\dfrac{1}{4}+\dfrac{5}{3}\)
= \(\dfrac{30}{12}-\dfrac{3}{12}+\dfrac{20}{12}\)
= \(\dfrac{7}{12}\)
\(\dfrac{14}{5}\times\dfrac{2}{3}\)+ 5
= \(\dfrac{28}{15}\) + 5
= \(\dfrac{28}{15}\) + \(\dfrac{75}{15}\)
= \(\dfrac{103}{15}\)
\(\text{A}=1+\frac{3}{2^3}+\frac{4}{2^4}+\frac{5}{2^5}+...+\frac{100}{2^{100}}\)
\(\frac{1}{2}.\text{A}=\frac{1}{2}+\frac{3}{2^4}+\frac{4}{2^5}+...+\frac{99}{2^{100}}+\frac{100}{2^{101}}\)
\(=\left[\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+...+\frac{1}{2^{100}}\right]-\frac{100}{2^{101}}\left(\text{do}\frac{3}{2^3}=\frac{1}{2^2}+\frac{1}{2^3}\right)\)
\(=\frac{\left[1-\left(\frac{1}{2}\right)^{101}\right]}{\left(1-\frac{1}{2}\right)}-\frac{100}{2^{101}}\)
\(=\frac{\left(2^{101}-1\right)}{2^{100}}-\frac{100}{2^{101}}\)
\(\Rightarrow\text{A}=\frac{\left(2^{101}-1\right)}{2^{99}}-\frac{100}{2^{101}}\)
P/s: Sai đâu thì bn sửa nhé.
\(a,\dfrac{1}{2}:\dfrac{2}{4}:5\) -> chỉ có phép chia nên thực hiện từ trái sang phải :>
\(=1:5=\dfrac{1}{5}\)
\(b,\dfrac{2}{5}:12:\dfrac{4}{3}\) -> tương tự câu thứ nhất :>
\(=\dfrac{1}{30}:\dfrac{4}{3}=\dfrac{1}{40}\)
1)
\(\dfrac{1}{2}:\dfrac{2}{4}:\dfrac{5}{1}=\left(\dfrac{1}{2}.\dfrac{4}{2}\right).\dfrac{1}{5}=1.\dfrac{1}{5}=\dfrac{1}{5}\)
dấu chấm là dấu nhân á .
2)
\(\dfrac{2}{5}:\dfrac{12}{1}:\dfrac{4}{3}=\left(\dfrac{2}{5}.\dfrac{1}{12}\right).\dfrac{3}{4}=\dfrac{1}{30}.\dfrac{3}{4}=\dfrac{3}{120}=\dfrac{1}{40}\)
\(\dfrac{4}{5}-\dfrac{2}{5}\times\dfrac{1}{4}=\dfrac{4}{5}-\dfrac{1}{10}=\dfrac{8}{10}-\dfrac{1}{10}=\dfrac{7}{10}\)
\(\dfrac{1}{4}+\dfrac{3}{4}:\dfrac{1}{8}=\dfrac{1}{4}+\dfrac{3}{4}\times8=\dfrac{1}{4}+6=\dfrac{1}{4}+\dfrac{24}{4}=\dfrac{25}{4}\)
\(\)\(\dfrac{11}{10}-\dfrac{2}{5}:\dfrac{1}{3}=\dfrac{11}{10}-\dfrac{2}{5}\times3=\dfrac{11}{10}-\dfrac{6}{5}=\dfrac{11}{10}-\dfrac{12}{10}=-\dfrac{1}{10}\)
4/5-2/5.1/4
=4/5-1/10
=8/10-1/10
=7/10
1/4+3/4:1/8
=1/4+3/4.8
=1/4+6
=1/4+24/4
=25/4
11/10-2/5:1/3
=11/10-2/5.3
=11/10-6/5
=11/10-12/10
=-1/10