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14 tháng 8 2023

57\(\dfrac{1}{5^5}\) = 52 = 25

 

14 tháng 8 2023

5⁷ . 1/5⁵

= 5⁷/5⁵

= 5²

= 25

\(=\dfrac{1}{2}\cdot\dfrac{6}{5}\cdot\dfrac{8}{7}+\dfrac{3}{7}\cdot\dfrac{9}{5}=\dfrac{24}{35}+\dfrac{27}{35}=\dfrac{51}{35}\)

HQ
Hà Quang Minh
Giáo viên
19 tháng 9 2023

a)

\(\begin{array}{l}A = \left( {2 + \frac{1}{3} - \frac{2}{5}} \right) - \left( {7 - \frac{3}{5} - \frac{4}{3}} \right) - \left( {\frac{1}{5} + \frac{5}{3} - 4} \right).\\A = \left( {\frac{{30}}{{15}} + \frac{5}{{15}} - \frac{6}{{15}}} \right) - \left( {\frac{{105}}{{15}} - \frac{9}{{15}} - \frac{{20}}{{15}}} \right) - \left( {\frac{3}{{15}} + \frac{{25}}{{15}} - \frac{{60}}{{15}}} \right)\\A = \frac{{29}}{{15}} - \frac{{76}}{{15}} - \left( {\frac{{ - 32}}{{15}}} \right)\\A = \frac{{29}}{{15}} - \frac{{76}}{{15}} + \frac{{32}}{{15}}\\A = \frac{{ - 15}}{{15}}\\A =  - 1\end{array}\)

b)

\(\begin{array}{l}A = \left( {2 + \frac{1}{3} - \frac{2}{5}} \right) - \left( {7 - \frac{3}{5} - \frac{4}{3}} \right) - \left( {\frac{1}{5} + \frac{5}{3} - 4} \right)\\A = 2 + \frac{1}{3} - \frac{2}{5} - 7 + \frac{3}{5} + \frac{4}{3} - \frac{1}{5} - \frac{5}{3} + 4\\A = \left( {2 - 7 + 4} \right) + \left( {\frac{1}{3} + \frac{4}{3} - \frac{5}{3}} \right) + \left( { - \frac{2}{5} + \frac{3}{5} - \frac{1}{5}} \right)\\A =  - 1 + 0 + 0 =  - 1\end{array}\)

2: B=|x+5|-|x-2|<=|x+5-x+2|=7

Dấu = xảy ra khi -5<=x<=2

28 tháng 2 2023

`(6-2/3+1/2)-(5+5/3-3/2)-(3-7/3+5/2)`

`= 6-2/3+1/2 -5-5/3+3/2 -3+7/3 -5/2`

`= (6-5-3) - ( 2/3 - 5/3 + 7/3 ) + (1/2 + 3/2 - 5/2)`

`= -2 -0 + (-1/2)`

`= -5/2`

\(\dfrac{35}{6}-\dfrac{31}{6}-\dfrac{19}{6}=\dfrac{-5}{2}\)

\(=\dfrac{2}{3}\cdot\dfrac{6}{5}\cdot7+\dfrac{5}{6}\cdot\dfrac{1}{7}\cdot\dfrac{7}{8}\cdot3=\dfrac{28}{5}+\dfrac{5}{16}=\dfrac{473}{80}\)

27 tháng 1 2022

=2/3⋅6/5⋅7+5/6⋅1/7⋅7/8⋅3=28/5+5/16=473/80

Bài làm

       \(7+\left(\frac{7}{12}-\frac{1}{2}+3\right)-\left(\frac{1}{12}+5\right)\)

\(=\frac{84}{12}+\left(\frac{7}{12}-\frac{6}{12}+\frac{36}{12}\right)-\left(\frac{1}{12}+\frac{60}{12}\right)\)

\(=\frac{84}{12}+\frac{37}{12}-\frac{61}{12}\)

\(=\frac{60}{12}\)

\(=5\)

# Chúc bạn học tốt #

25 tháng 12 2022

\(-\dfrac{7}{2}-\left(\dfrac{5}{3}\right)^2:\dfrac{10}{27}\\ =-\dfrac{7}{2}-\dfrac{25}{9}:\dfrac{10}{27}\\ =-\dfrac{7}{2}-\dfrac{25}{9}.\dfrac{27}{10}\\ =-\dfrac{7}{2}-\dfrac{675}{90}\\ =-\dfrac{7}{2}-\dfrac{75}{9}\\ =-\dfrac{63}{18}-\dfrac{150}{18}\\ =-\dfrac{213}{18}\)

`a) -3/5 xx 7/9 + (-3/5) xx 2/9 + 3/5`

`=-3/5 xx (7/9+2/9) + 3/5`

`=-3/5 xx 1 + 3/5`

`=-3/5+3/5`

`=0`

25 tháng 12 2022

Bn làm được ý c) nữa k ak

25 tháng 12 2022

a)

\(\left(\dfrac{1}{2}\right)^3\times\left(\dfrac{1}{2}\right)^2\)

\(=\left(\dfrac{1}{2}\right)^{3+2}\)

\(=\left(\dfrac{1}{2}\right)^5\)

\(=\dfrac{1}{32}\)

b)

\(\left(-\dfrac{2}{3}\right)^7:\left(-\dfrac{2}{3}\right)^5\)

\(=\left(-\dfrac{2}{3}\right)^{7-5}\)

\(=\left(-\dfrac{2}{3}\right)^2\)

\(=\dfrac{4}{9}\)

c)

\(\left[\left(\dfrac{2}{5}\right)\right]^0=1\)