(-2) x-2 + 2011 = 2075
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Giải:
\(358.2^3-\dfrac{5^{20}.3^{20}}{15^{18}}+3^2.2075^0\)
\(=358.2^3-\dfrac{5^{20}.3^{20}}{5^{18}.3^{18}}+3^2.1\)
\(=358.2^3-5^2.3^2+3^2\)
\(=358.2^3-3^2\left(5^2+1\right)\)
\(=358.2^3-3^2.26\)
\(=2\left(358.2^2-3^2.13\right)\)
\(=2.1315=2630\)
Vậy ...
(Mình nghĩ có sai sót gì đó, bạn xem lại đề)
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2075:5=(x*75:5)+40
415=(x*15)+40
x*15=415-40
x*15=375
x=375:15
x=25
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\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}\right)+\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{7}\right)+\frac{1}{2}.\left(\frac{1}{7}-\frac{1}{9}\right)+\frac{1}{2}.\left(\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\frac{10}{11}.y=\frac{4}{3}\)
\(\Rightarrow y=\frac{22}{15}\)
(-2)x-2 + 2011 = 2075
(-2)x-2 = 2075 - 2011 = 64 = (-2)6
=> x - 2 = 6
=> x = 8