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-23/5.50/23≤x≤ -13/5:7/5
<=> -10≤x≤-13/7
Bạn tự chọn nốt số x nhé vì bạn ko cho điều kiện x thuộc gì
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\(\frac{4^{50}.3^2}{2^{23}.2^{22}}\)
\(=\frac{\left(2^2\right)^{50}.3^2}{2^{23+22}}\)
\(=\frac{2^{100}.3^2}{2^{45}}\)
\(=2^{55}.3^2\)
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23 = 3b ; 5b = 7c ; và 3a + 5c + 7b = 50
=> Ta được:
\(\dfrac{a}{3}\)= \(\dfrac{b}{2}\); \(\dfrac{b}{7}\)= \(\dfrac{c}{5}\)
=> \(\dfrac{a}{21}\)= \(\dfrac{b}{14}\); \(\dfrac{b}{14}\)= \(\dfrac{c}{10}\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\dfrac{a}{21}\)+\(\dfrac{b}{14}\)+\(\dfrac{c}{10}\)= \(\dfrac{\left(3a+5b+7c\right)}{\left(3.21+5.14+7.10\right)}\)=\(\dfrac{50}{203}\)
=> \(\dfrac{a}{21}\)= \(\dfrac{50}{203}\)=> a = \(\dfrac{150}{29}\)
\(\dfrac{b}{14}\)= \(\dfrac{50}{203}\)=> b = \(\dfrac{100}{29}\)
\(\dfrac{c}{10}\) = \(\dfrac{50}{203}\)=> c = \(\dfrac{500}{203}\)
Vậy a = \(\dfrac{150}{29}\)
b = \(\dfrac{100}{29}\)
c = \(\dfrac{500}{203}\)
Chúc bạn học tốt
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\(\frac{2^{10}.9^{41}.25^{23}}{3^{50}.15^{35}.10^3}\)=\(\frac{2^{10}.\left(3^3\right)^{41}.\left(5^2\right)^{23}}{3^{50}.\left(3.5\right)^{35}.\left(2.5\right)^3}\)=\(\frac{2^{10}.3^{123}.5^{46}}{3^{50}.3^{35}.5^{35}.2^3.5^3}\)=\(\frac{2^{10}.3^{123}.5^{46}}{3^{85}.5^{38}.2^3}\)=\(2^7.3^{38}.5^8\)
23+50.23+50
= 23.(50+50)
= 2300
#Chúchọctốt
\(23+50.23+50\)
\(=\left(23+23\right).\left(50+50\right)\)
\(=56.100\)
\(=5600\)