So sánh
2^3^2^3và 3^2^3^2
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1) \(\sqrt[3]{x+1}=5\)
\(\Rightarrow x+1=125\)
\(\Rightarrow x=124\)
2) \(\sqrt[3]{1-3x^3}=-2\)
\(\Rightarrow1-3x^3=-8\)
\(\Rightarrow3x^3=9\)
\(\Rightarrow x=\sqrt[3]{3}\)
a/\(1248:12-2,5\times4+6,03.\)
\(=104-10+6,03\)
\(=94+6,03=100,03\)
b/\(\left(\frac{2}{3}+\frac{5}{7}-\frac{1}{3}\right)\times\frac{7}{11}+3\frac{1}{3}.\)
\(=\left(\frac{29}{21}-\frac{1}{3}\right)\times\frac{7}{11}+3\frac{1}{3}\)
\(=\frac{22}{11}\times\frac{7}{11}+3\frac{1}{3}\)
\(=\frac{2}{3}+3\frac{1}{3}\)
\(=\frac{2}{3}+\frac{10}{3}\)
\(=\frac{12}{3}=4\)
a) Áp dụng TCDTSBN ta có:
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{a+b}{2+3}=-\dfrac{15}{5}=-3\)
\(\dfrac{a}{2}=-3\Rightarrow a=-6\\ \dfrac{b}{3}=-3\Rightarrow b=-9\)
b) Áp dụng TCDTSBN ta có:
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{a+2b-3c}{2+2.3-3.4}=\dfrac{-20}{-4}=5\)
\(\dfrac{a}{2}=5\Rightarrow a=10\\ \dfrac{b}{3}=5\Rightarrow b=15\\ \dfrac{c}{4}=5\Rightarrow c=20\)
1) Áp dụng t/c dtsbn:
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{a+b}{2+3}=\dfrac{-15}{5}=-3\)
\(\Rightarrow\left\{{}\begin{matrix}a=\left(-3\right).2=-6\\b=\left(-3\right).3=-9\end{matrix}\right.\)
2) Áp dụng t/c dtsbn:
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{2b}{6}=\dfrac{3c}{12}=\dfrac{a+2b-3c}{2+6-12}=\dfrac{-20}{-4}=5\)
\(\Rightarrow\left\{{}\begin{matrix}a=5.2=10\\b=5.3=15\\c=5.4=20\end{matrix}\right.\)
a: 2/7=18/63
4/9=28/63
mà 18<28
nên 2/7<4/9
b: 5/7=15/21
mà 15/21>15/26
nên 5/7>15/26
c: 3/5=9/15<9/11
d: 6/11<6/10=3/5
e: 3/7=33/77
5/11=35/77
mà 33<35
nên 3/7<5/11
\(a,3\dfrac{4}{5}+2\dfrac{1}{5}=\dfrac{19}{5}+\dfrac{11}{5}=\dfrac{30}{5}=6\\ b,7\dfrac{2}{9}-2\dfrac{1}{9}=\dfrac{65}{9}-\dfrac{19}{9}=\dfrac{46}{9}\\ c,5-2\dfrac{4}{11}=5-\dfrac{26}{11}=\dfrac{29}{11}\\ d,5\dfrac{1}{2}-2\dfrac{1}{3}+2\dfrac{1}{6}=\dfrac{11}{2}-\dfrac{7}{3}+\dfrac{13}{6}=\dfrac{32}{6}=\dfrac{16}{3}\\ e,3\dfrac{4}{5}\times2\dfrac{1}{5}=\dfrac{19}{5}\times\dfrac{11}{5}=\dfrac{209}{25}\\ f,7\dfrac{2}{9}:2\dfrac{1}{9}=\dfrac{65}{9}:\dfrac{19}{9}=\dfrac{65}{9}\times\dfrac{9}{19}=\dfrac{65}{19}\\ g,5\times2\dfrac{4}{11}=5\times\dfrac{26}{11}=\dfrac{130}{11}\\ h,5:2\dfrac{4}{1}=5:8=\dfrac{5}{8}\)
2^3^2^3=8^6
3^2^3^2=9^6
Vì 8^6<9^6
Nên 2^3^2^3<3^2^3^2
2^3^2^3=262144
3^2^3^2=531441
Vậy 262144<531441
=>2^3^2^3>3^2^3^2
k cho mình nha