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(-10/3)5.(-6/5)4
= -10/3 . (-10/3)4 . (-6/5)4
= -10/3 . (-10/3.(-6/5)4
= -10/3. 44
= -10/3. 256
= -2560/3
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1) \(2x - \frac{3}{4}= \left ( + \frac{2}{3} \right )\)
\(2x = \frac{2}{3}+ \frac{3}{4}\)
\(2x = \frac{17}{12}\)
\(x = \frac{17}{12}: 2\)
x = \(\frac{17}{24}\)
Vậy ...........
2) x5 : x3 = \(\frac{1}{16}\)
\(x^{2}= \frac{1}{16}\)
=> \(x= \frac{1}{14}\) hoặc \(x= - \frac{1}{14}\)
Vậy ........
3) \(\left | x + \frac{1}{3} \right | - 2 = - 1\)
\(\left | x + \frac{1}{3} \right | = 1\)
* \(x + \frac{1}{3} = 1\)
\(x = 1 - \frac{1}{3}\)
\(x = \frac{2}{3}\)
* \(x + \frac{1}{3} = - 1\)
\(x =- 1 - \frac{1}{3}\)
\(x = - \frac{4}{3}\)
Vậy ...........hoặc..............
4) \(\frac{2}{9}x\left (x - 3\tfrac{7}{8} \right )= 0\)
\(\frac{2}{9}x\left (x - \frac{31}{8} \right )= 0\)
<=> \(\begin{bmatrix} \frac{2}{9}x = 0 & & \\ x - \frac{31}{8}= 0 & & \end{bmatrix}\)
\(\Leftrightarrow \begin{bmatrix} x = 0 & & \\ x = \frac{31}{8} & & \end{bmatrix}\)
pn bỏ dấu ngoặc bên phải nhé
Vậy ...............hoặc............
Chúc pn học tốt
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\(\left(\dfrac{-10}{3}\right)^5.\left(\dfrac{6}{5}\right)^4\\ =\left(\dfrac{-10}{3}\right).\left(\dfrac{10}{3}\right)^4.\left(\dfrac{6}{5}\right)^4\\ =\left(\dfrac{-10}{3}\right).\left(\dfrac{10}{3}.\dfrac{6}{5}\right)^4\\ =\left(\dfrac{-10}{3}\right).4^4\\ =\left(\dfrac{-10}{3}\right).256\\ =\dfrac{-2560}{3}\)
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ta có :
\(A=\frac{1}{2^2}+\frac{1}{3^2}+..+\frac{1}{n^2}< \frac{1}{1.2}+\frac{1}{2.3}+..+\frac{1}{\left(n-1\right)n}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+..+\frac{1}{n-1}-\frac{1}{n}=1-\frac{1}{n}< 1\) Vậy A<1
b. \(4B=\frac{1}{1^2}+\frac{1}{2^2}+\frac{1}{3^2}+..+\frac{1}{n^2}=1+A< 2\Rightarrow B< 0.5\)
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trtrfdretrrfgt.........................................................
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c.\(\frac{125^3.8^4}{10^{10}}\)\(\frac{\left(5^3\right)^3.\left(2^3\right)^4}{\left(2.5\right)^{10}}\)=\(\frac{5^9.2^{12}}{2^{10}.5^{10}}\)=\(\frac{1.2^2}{5}\)=\(\frac{4}{5}\)
d.\(\frac{20^5.5^{10}}{100^2}\)=\(\frac{\left(2^2.5^5\right)^5.5^{10}}{\left(2^2.5^2\right)^2}\)=\(\frac{2^{10}.5^5.5^{10}}{2^4.5^4}\)=\(2^6.5^{11}\)
c.\(\frac{5^4.20^4}{25^5.4^5}\)=\(\frac{5^4.4^4.5^4}{5^{10}.4^5}\)=\(\frac{1.1}{5^2.4}\)=\(\frac{1}{25.4}\)\(\frac{1}{100}\)
c.\(\frac{2^5.\left(-49\right)^2}{4^5.7^3}\)=\(\frac{2^5.7^4}{2^{10}.7^3}\)=\(\frac{1.7^{ }}{2^5.1}\)=\(\frac{7}{32}\)
\(\)