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_17*13+17\(\frac{-17\cdot13+17\cdot2}{11\cdot2-11\cdot19}=\frac{-221+34}{22-209}=\frac{-187}{-187}=\frac{1}{1}=1\)
\(\frac{10}{25}=\frac{10:5}{25:5}=\frac{2}{5}\)
\(\frac{5}{20}=\frac{5:5}{20:5}=\frac{1}{4}\)
\(\frac{6}{30}=\frac{6:6}{30:6}=\frac{1}{5}\)
\(\frac{60}{20}=\frac{60:20}{20:20}=3\)
a)\(\frac{25-7.25}{6.15}\)
\(=\frac{25.\left(1-7\right)}{6.15}\)
\(=\frac{25.\left(-6\right)}{6.15}\)
\(=\frac{5.\left(-1\right)}{1.3}\)
\(=\frac{-5}{3}\)
b)\(\frac{15.11-15}{25.\left(-10\right)}\)
\(=\frac{15.\left(11-1\right)}{25.\left(-10\right)}\)
\(=\frac{15.10}{25.\left(-10\right)}\)
\(=\frac{3.1}{5.\left(-1\right)}\)
\(=\frac{-3}{5}\)
Ta có : 10A = 10^25 + 10/10^25 + 1 = 10^25 + 1 +9/10^25 + 1 = 10^25 + 1/10^25 + 1 + 9/10^25 + 1
= 1 + 9/10^25 + 1 > 1 ( 1 )
10B = 10^26 - 10/10^26 - 1 = 10^26 - 1 - 9/10^26 - 1 = 10^26 - 1/10^26 - 1 - 9/10^26 - 1
= 1 - 9/10^26 - 1 < 1 ( 2 )
Từ ( 1 ) và ( 2 ) => 1 + 9/10^25 + 1 > 1 > 1 - 9/10^26 - 1
=> 10A > 10B
=> A > B
Vậy PS A lớn hơn PS B.
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\(\frac{5^{12}.3^9-5^{10}.3^{11}}{5^{10}.3^{10}}\)\(=\frac{5^{10}.3^9(5^2-3^2)}{5^{10}.3^{10}}\)\(=\frac{5^2-3^2}{3}\)\(=\frac{16}{3}\)
Chúc bạn học tốt!
\(10A=\frac{10\left(10^{29}+10^{10}\right)}{10^{30}+10^{10}}=\frac{10^{30}+10^{11}}{10^{30}+10^{10}}=1+\frac{10^{11}-10^{10}}{10^{30}+10^{10}}\)
\(10B=\frac{10\left(10^{30}+10^{10}\right)}{10^{31}+10^{10}}=\frac{10^{31}+10^{11}}{10^{31}+10^{10}}=1+\frac{10^{11}-10^{10}}{10^{31}+10^{10}}\)
\(10^{30}+10^{10}< 10^{31}+10^{10}\Rightarrow\frac{10^{11}-10^{10}}{10^{30}+10^{10}}>\frac{10^{11}-10^{10}}{10^{31}+10^{10}}\)
\(\Rightarrow10A=1+\frac{10^{11}-10^{10}}{10^{30}+10^{10}}>10B=1+\frac{10^{11}-10^{10}}{10^{31}+10^{10}}\)
\(\Rightarrow A>B\)
$\frac{5^2.6^{11}.16^2+6^2.12^6.15^2}{2.6^{12}.10^4-81^2960^3}$52.611.162+62.126.1522.612.104−8129603= \(y=\frac{1}{x^2+\sqrt{x}}\)
\(y=\frac{1}{x^2+\sqrt{x}}\)
a) \(\frac{10+5}{10+25}=\frac{5\left(2+1\right)}{5\left(2+5\right)}=\frac{5.3}{5.7}=\frac{3}{7}\)