so sánh phân số
15/50, 9/10, 26/30
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Rút gọn: 15/30= 3/10.
3/10=3* 3/10* 3= 9/30, 9/10= 9* 3/10* 3= 27/30.
Vì 9/30< 26/30< 27/30 nên 15/50< 26/30< 9/10.
a)\(10^{20}=\left(10^2\right)^{10}=100^{10}\left(1\right)\)
\(9^{30}=\left(9^3\right)^{10}=729^{10}\left(2\right)\)
Từ (1) và (2) \(\Rightarrow9^{30}>10^{20}\)
b) \(\left(-5\right)^{30}=5^{30}=125^{10}\)
\(\left(-3\right)^{50}=3^{50}=243^{10}\)
\(\Rightarrow\left(-3\right)^{50}>\left(-5\right)^{30}\)
c)\(64^8=\left(2^6\right)^8=2^{48}\)
\(16^{12}=\left(2^4\right)^{12}=2^{48}\)
\(\Rightarrow64^8=16^{12}\)
a: \(\dfrac{-7}{15}=\dfrac{-7\cdot4}{15\cdot4}=\dfrac{-28}{60}\)
\(\dfrac{5}{12}=\dfrac{5\cdot5}{12\cdot5}=\dfrac{25}{60}\)
b: \(\dfrac{1}{5}=\dfrac{1\cdot6}{5\cdot6}=\dfrac{6}{30}\)
\(\dfrac{-2}{3}=\dfrac{-2\cdot10}{3\cdot10}=\dfrac{-20}{30}\)
\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)
c: \(\dfrac{-15}{50}=\dfrac{-15\cdot3}{50\cdot3}=\dfrac{-45}{150}\)
\(\dfrac{9}{10}=\dfrac{9\cdot15}{10\cdot15}=\dfrac{135}{150}\)
\(\dfrac{26}{-30}=\dfrac{-26}{30}=\dfrac{-26\cdot5}{30\cdot5}=\dfrac{-130}{150}\)
d: \(\dfrac{7}{10}=\dfrac{7\cdot51}{10\cdot51}=\dfrac{357}{510}\)
\(\dfrac{-5}{-15}=\dfrac{1}{3}=\dfrac{1\cdot170}{3\cdot170}=\dfrac{170}{510}\)
\(\dfrac{3}{17}=\dfrac{3\cdot30}{17\cdot30}=\dfrac{90}{510}\)
e: \(\dfrac{-4}{-75}=\dfrac{4}{75}=\dfrac{4}{75}\)
\(\dfrac{-3}{5}=\dfrac{-3\cdot15}{5\cdot15}=\dfrac{-45}{75}\)
\(\dfrac{8}{25}=\dfrac{8\cdot3}{25\cdot3}=\dfrac{24}{75}\)
f: \(-\dfrac{4}{5}=\dfrac{-4\cdot7}{5\cdot7}=\dfrac{-28}{35}\)
\(\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\)
Ta có:
\(9^{12}=\left(9^6\right)^2=531441^2\)
\(26^2=26^2\)
Vì 531441 > 26 nên 9^12>26^2
Ta có: \(\dfrac{10^{50}-3}{10^{50}+1}\)<\(\dfrac{10^{50}+1}{10^{50}+1}\)<\(\dfrac{10^{50}+1}{10^{50}-3}\)
=>\(\dfrac{10^{50}-3}{10^{50}+1}\)<\(\dfrac{10^{50}+1}{10^{50}-3}\)
vậy (đpcm)
\(\frac{10}{40}=0,25;\frac{9}{50}=0,18;\frac{26}{130}=0,2\)
1030 và 100020
=>1030=(103)10=100010
Mà :100010<100020
Vay 1030<100020
Rút gọn: 15/50= 3/10.
3/10= 3* 3/10* 3= 9/30, 9/10= 9* 3/10* 3= 27/30.
9/30< 26/30< 27/30 nên 15/50< 26/30< 9/10.