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\(\left(2x+1\right)^3=9\times81\)
\(\left(2x+1\right)^3=9^3\)
\(\Rightarrow2x+1=9\)
\(\Rightarrow2x=9-1\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
\(\left(2x+1\right)^3=9.9.9=9^3\Leftrightarrow\left(2x+1\right)=9\Leftrightarrow2x=8\Rightarrow x=4\)
\(\frac{64^2.81^3.34}{2^{13}.3^9.17}=\frac{2^{12}.3^{12}.2.17}{2^{13}.3^9.17}=\frac{2^{13}.3^{12}.17}{2^{13}.3^9.17}=3^3=27\)
Chúc bạn học tốt!
1: \(\left(3x-\dfrac{1}{5}\right)^2=\left(-\dfrac{3}{25}\right)^2\)
=>3x-1/5=3/25 hoặc 3x-1/5=-3/25
=>3x=8/25 hoặc 3x=2/25
=>x=8/75 hoặc x=2/75
2: \(\left(2x-\dfrac{1}{3}\right)^2=\left(-\dfrac{2}{9}\right)^2\)
=>2x-1/3=2/9 hoặc 2x-1/3=-2/9
=>2x=5/9 hoặc 2x=1/9
=>x=5/18 hoặc x=1/18
a) \(A=\frac{6^3.9^7.4^3-16^2.81^4}{\left(24.3\right)^2}\)
\(A=\frac{2^3.3^3.3^{14}.2^6-2^8.3^{16}}{24^2.3^2}\)
\(A=\frac{2^9.3^{17}-2^8.3^{16}}{3^2.8^2.3^2}\)
\(A=\frac{2^8.3^{16}.\left(2.3-1\right)}{3^4.2^6}\)
\(A=\frac{2^8.3^{16}.5}{3^4.2^6}=2.3^{12}.5=10.3^{12}\)
b) \(B=2198+123-198-1123+42\)
\(B=\left(2198-198\right)+\left(123-1123\right)+42\)
\(B=2000-1000+42=1042\)
\(\left(3x-1\right)\left(\frac{-1}{2}x+5\right)=0\)
\(\orbr{\begin{cases}3x-1=0\\\frac{-1}{2}x+5=0\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)
\(\frac{1}{4}+\frac{1}{3}:(2x-1)=-5\)
\(\Rightarrow\frac{1}{3}:(2x-1)=-5-\frac{1}{4}\)
\(\Rightarrow\frac{1}{3}:(2x-1)=\frac{-21}{4}\)
\(\Rightarrow2x-1=\frac{1}{3}:-\frac{21}{4}\)
\(\Rightarrow2x-1=\frac{1}{3}\cdot-\frac{4}{21}\)
\(\Rightarrow2x-1=\frac{-4}{63}\)
\(\Rightarrow2x=-\frac{4}{63}+1\)
\(\Rightarrow2x=\frac{59}{63}\Leftrightarrow x=\frac{59}{126}\)
\(9\left(-\frac{1}{3}\right)^3x-3\left(-\frac{1}{2}\right)^2x+\left(-\frac{1}{3}\right)x+1=0\)
\(\Leftrightarrow-\frac{9}{27}x-\left(-\frac{3}{9}\right)x-\frac{1}{3}x+1=0\)
\(\Leftrightarrow-\frac{1}{3}x+\frac{1}{3}x-\frac{1}{3}x+1=0\)
\(\Leftrightarrow1-\frac{1}{3}x=0\)
\(\Leftrightarrow1=\frac{1}{3}x\)
\(\Leftrightarrow x=3\)
9. -1/27x- 3. 1/9x + (-1/3) x + 1=0
-1/ 3x- 1/3x-1/3x = -1
-2/3x=-1
x= -1 : -2/3
x= 3/2
\(\left(2x+1\right)^3=9.81\)