5^102. 9^1009 / 3^2018 . 25^50
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Tính \(\dfrac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)
\(=\dfrac{5^{102}.\left(3^2\right)^{1009}}{3^{2018}.\left(5^2\right)^{50}}\)
\(=\dfrac{5^{102}.3^{2018}}{3^{2018}.5^{100}}=5^2=25\)
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Thực hiện phép tính
\(\dfrac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)
\(\dfrac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)
\(=\dfrac{5^{102}.\left(3^2\right)^{1009}}{3^{2018}.\left(5^2\right)^{50}}\)
\(=\dfrac{5.1}{1.1}=5\)
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\(\dfrac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)=\(\dfrac{5^{102}.3^{2018}}{3^{2018}.5^{100}}\) =5\(^2\) =25
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1/ Tìm x , biết :
( 3x - 7 )2009 = ( 3x - 7 )2007
2/ Tính :
\(\frac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)
\(\left(3x-7\right)^{2009}=\left(3x-7\right)^{2007}\)
\(\Leftrightarrow\left(3x-7\right)^{2009}-\left(3x-7\right)^{2007}=0\)
\(\left(3x-7\right)^{2007}.\left[\left(3x-7\right)^2-1\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(3x-7\right)^{2007}=0\\\left(3x-7\right)^2=1\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{7}{3}\\\left(3x-7\right)=\pm1\end{cases}}}\)
=> \(x=\frac{7}{3},x=2,x=\frac{8}{3}\)
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2/\(\frac{5^{102}.9^{1009}}{3^{2018}.25^{50}}=\frac{5^{100+2}.3^{2.1009}}{3^{2018}.5^{2.50}}=\frac{5^{100}.5^2.3^{2018}}{3^{2018}.5^{100}}=5^2=25\)
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\(25.\left(-\frac{1}{5}\right)^3+\frac{1}{5}-2.\left(-\frac{1}{2}\right)^2-\frac{1}{2}\)
\(\frac{5^{102}.9^{1009}}{3^{2018}.25^{50}}\)
\(\left(x+\frac{1}{2}\right)^2=\frac{1}{16}\)
Tính ; (3/7)^2018 : (-9)^1009 / 7^2017 = ?
thanks <3
\(\frac{5^{102}\cdot9^{1000}}{3^{2018}\cdot25^{50}}\). dấu . là nhân nha
\(\frac{5^{102}\cdot9^{1000}}{3^{2018}\cdot25^{50}}=\frac{5^{102}\cdot3^{2000}}{3^{2018}\cdot5^{100}}=\frac{5^2}{3^{18}}\)
Bài 5: Thực hiện phép tính:a) 47 – [(45.24 – 52.12):14]a) 3.52 + 15.22 – 26:2b) 50 – [(20 – 23) : 2 + 34]b) (- 25) . (- 4 ) + (- 70) . 3c) 102 – [60 : (56 : 54 – 3.5)]c) 62 : (- 9) - 50.2 – 33.(- 3)d) 50 – [(50 – 23.5):2 + 3]d) 32.(- 50) - 23.10 – 81: (- 3)e) 10 – [(82 – 48).5 + (23.10 + 8)] : 28e) 513 : 510 – 25.22f) 8697 – [37 : 35 + 2(13 – 3)]f) 20 : 22 + 59 : 58g) 2011 + 5[300 – (17 – 7)2]g) 100 : 52 + 7.32h) 695 – [200 + (11 – 1)2]h) 84 : 4 + 39 : 37 + 50i) 129 – 5[29 – (6 – 1)2]i) 29 –...
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Bài 5: Thực hiện phép tính:
a) 47 – [(45.24 – 52.12):14] | a) 3.52 + 15.22 – 26:2 |
b) 50 – [(20 – 23) : 2 + 34] | b) (- 25) . (- 4 ) + (- 70) . 3 |
c) 102 – [60 : (56 : 54 – 3.5)] | c) 62 : (- 9) - 50.2 – 33.(- 3) |
d) 50 – [(50 – 23.5):2 + 3] | d) 32.(- 50) - 23.10 – 81: (- 3) |
e) 10 – [(82 – 48).5 + (23.10 + 8)] : 28 | e) 513 : 510 – 25.22 |
f) 8697 – [37 : 35 + 2(13 – 3)] | f) 20 : 22 + 59 : 58 |
g) 2011 + 5[300 – (17 – 7)2] | g) 100 : 52 + 7.32 |
h) 695 – [200 + (11 – 1)2] | h) 84 : 4 + 39 : 37 + 50 |
i) 129 – 5[29 – (6 – 1)2] | i) 29 – [16 + 3.(51 – 49)] |
j) 2010 – 2000 : [486 – 2(72 – 6)] | j) 53.2 – 100 : 4 + 23.5 |
f: =20:4+5
=5+5
=10
e: =125-100=25
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y3-9y2+29y-19=0=x3-9x2+29x-47
tính x+y
b) a2018+b2018+c2018=a1009b1009+b1009c1009+c1009a1009
tính (a-b)2017+(b-c)2018+(c-a)2019
Thực hiện phép tính:
a,\(\left(\frac{9}{16}-\frac{5}{8}+\frac{3}{4}\right):\frac{11}{32}\)
b,\(\frac{1000}{1009}.\frac{-2018}{2019}+\frac{19}{2018}.\frac{-2018}{2019}+\frac{1}{2020}\)
\(a,=\left(\frac{9}{16}-\frac{10}{16}+\frac{12}{16}\right):\frac{11}{32}\)
\(=\frac{11}{16}:\frac{11}{32}\)
\(=\frac{11}{16}.\frac{32}{11}\)
\(=2\)