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1+11=12
1111+11111=12222
89309+8=89316
93651:1=93551
83626+1=83627
1865+1=1866
87366+8=87374
8276+2=8278
8365-87=8278
1+11=12
1111+11111=12222
89309+8=89317
93651:1=93651
83626+1=83627
1865+1=1866
87366+8=87374
8276+2=8278
8365-87=8278
#Học tốt
Mình đã giải tại đây https://hoc24.vn/hoi-dap/question/169464.html
a) \(\sqrt[3]{10}=\sqrt[15]{10^5}>\sqrt[15]{20^3=\sqrt[5]{20}}\)
b) Vì \(\frac{1}{e}<1\) và \(\sqrt{8}-3<0\) nên \(\left(\frac{1}{e}\right)^{\sqrt{8}-3}>1\)
c) Vì \(\frac{1}{8}<1\) và \(\pi>3.14\) nên \(\left(\frac{1}{8}\right)^{\pi}<\left(\frac{1}{8}\right)^{3,14}\)
d) Vì \(\frac{1}{\pi}<1\) và \(1,4<\sqrt{2}\) nên \(\left(\frac{1}{\pi}\right)^{1,4}>\pi^{-\sqrt{2}}\)
a) \(\left(\dfrac{1}{16}\right)^{-\dfrac{3}{4}}+810000^{0.25}-\left(7\dfrac{19}{32}\right)^{\dfrac{1}{5}}\)
\(=\left(\dfrac{1}{2}\right)^{4.\left(-\dfrac{3}{4}\right)}+\left(30\right)^{4.0,25}-\left(\dfrac{243}{32}\right)^{\dfrac{1}{5}}\)
\(=\left(\dfrac{1}{2}\right)^{-3}+30-\left(\dfrac{3}{2}\right)^{5.\dfrac{1}{5}}\)
\(=2^3+30-\dfrac{3}{2}\)
\(=36,5\)
b) \(=\left(0,1\right)^{3.\left(-\dfrac{1}{3}\right)}-2^{-2}.2^{6.\dfrac{2}{3}}-\left[\left(2\right)^3\right]^{-\dfrac{4}{3}}\)
\(=0,1^{-1}-2^2-2^{-4}\)
\(=10-4-\dfrac{1}{16}\)
\(=\dfrac{95}{16}\)
pt \(\Leftrightarrow\left(2^x\right)^3-\left(\frac{1}{2^{x-1}}\right)^3-6\left(2^x-\frac{1}{2^{x-1}}\right)=1\)
\(\Leftrightarrow\left(2^x-\frac{1}{2^{x-1}}\right)\left(2^{2x}+2^x\cdot\frac{1}{2^{x-1}}+\left(\frac{1}{2^{x-1}}\right)^2\right)-6\left(2^x-\frac{1}{2^{x-1}}\right)=1\)
\(\Leftrightarrow\left(2^x-\frac{1}{2^{x-1}}\right)\left(2^{2x}+\frac{1}{2^{2x-2}}-4\right)=1\)
\(\Leftrightarrow\frac{2^{2x-1}-1}{2^{x-1}}\cdot\frac{2^{4x-2}-4\cdot2^{2x-2}+1}{2^{2x-1}}=1\)
\(\Leftrightarrow\frac{2^{2x-1}-1}{2^{x-1}}\cdot\frac{2^{2\left(2x-1\right)}-2\cdot2^{2x-1}+1}{2^{2x-2}}=1\)
\(\Leftrightarrow\frac{2^{2x-1}-1}{2^{x-1}}\cdot\left(\frac{2^{2x-1}-1}{2^{x-1}}\right)^2=1\)
\(\Leftrightarrow\left(\frac{2^{2x-1}-1}{2^{x-1}}\right)^3=1\)
\(\Leftrightarrow\frac{2^{2x-1}-1}{2^{x-1}}=1\Leftrightarrow2^{2x-1}-1=2^{x-1}\Leftrightarrow\frac{\left(2^x\right)^2}{2}-\frac{2^x}{2}-1=0\)
Giải pt bậc hai được 2x = 2 ↔ x = 1
10 nhé
TL:
1 + 1 + 8
= 2 + 8
= 10
_HT_