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\(=\dfrac{32}{21}\cdot\dfrac{22}{16}\cdot\dfrac{49}{45}\cdot\dfrac{5}{11}\)
\(=\dfrac{32}{16}\cdot\dfrac{22}{21}\cdot\dfrac{5}{11}\cdot\dfrac{49}{45}\)
\(=2\cdot\dfrac{49}{45}\cdot\dfrac{22}{11}\cdot\dfrac{5}{21}\)
\(=4\cdot\dfrac{49}{21}\cdot\dfrac{5}{45}=4\cdot\dfrac{1}{9}\cdot\dfrac{7}{3}=\dfrac{28}{27}\)
\(a,2^2=4,2^3=8,2^4=16,2^5=32,2^6=64,2^7=128,2^8=256,2^9=512,2^{10}=1024\)
\(b,3^2=9,3^3=27,3^4=81,3^5=243\)
\(c,4^2=16,4^3=64,4^4=256\)
\(d,5^2=25,5^3=125,5^4=625\)
a, 27.75 + 25.27 – 150
= 2025 + 675 – 150 = 2550
b, 142 – [50 – ( 2 3 .10 – 2 3 .5)]
= 142 – [50 – (80 – 40)] = 132
c, 375:{32 – [4+( 5 . 3 2 – 42]} – 14
= 375:{32 – [4+(45 – 42)]} – 14
= 375:(32 – 7) – 14 = 15 – 14 = 1
d, {210:[16+3.(6+3. 2 2 )]} – 3
= [210:(16+3.18)] – 3
= 210 : 70 – 3 = 3 – 3 = 0
a, 27.75 + 25.27 – 150
= 2025 + 675 – 150 = 2550
b, 142 – [50 – ( 2 3 .10 – 2 3 .5)]
= 142 – [50 – (80 – 40)] = 132
c, 375:{32 – [4+( 5 . 3 2 – 42]} – 14
= 375:{32 – [4+(45 – 42)]} – 14
= 375:(32 – 7) – 14 = 15 – 14 = 1
d, {210:[16+3.(6+3. 2 2 )]} – 3
= [210:(16+3.18)] – 3
= 210 : 70 – 3 = 3 – 3 = 0
a: 3*5^2-16:2^2
=3*25-16:4
=75-4=71
b: =2^3(17-14)
=8*3
=24
c: =15(141+59)
=15*200
=3000
d: =17(85+15)-200
=1700-200
=1500
f: =3+2^5
=3+32
=35
g: =42(39-37):42
=39-37
=2
a.
$S=1+2+2^2+2^3+...+2^{2017}$
$2S=2+2^2+2^3+2^4+...+2^{2018}$
$\Rightarrow 2S-S=(2+2^2+2^3+2^4+...+2^{2018}) - (1+2+2^2+2^3+...+2^{2017})$
$\Rightarrow S=2^{2018}-1$
b.
$S=3+3^2+3^3+...+3^{2017}$
$3S=3^2+3^3+3^4+...+3^{2018}$
$\Rightarrow 3S-S=(3^2+3^3+3^4+...+3^{2018})-(3+3^2+3^3+...+3^{2017})$
$\Rightarrow 2S=3^{2018}-3$
$\Rightarrow S=\frac{3^{2018}-3}{2}$
Câu c, d bạn làm tương tự a,b.
c. Nhân S với 4. Kết quả: $S=\frac{4^{2018}-4}{3}$
d. Nhân S với 5. Kết quả: $S=\frac{5^{2018}-5}{4}$
a) 9x - 18 = 34 : 32
9x - 18 = \(\frac{17}{16}\)
9x = \(\frac{17}{16}+18\)
9x = \(\frac{305}{16}\)
x = \(\frac{305}{16}:9\)
x = \(\frac{305}{144}\)
Vậy x = \(\frac{305}{144}\)
b)\(\Rightarrow x\inƯC\left(126;210\right)\hept{\begin{cases}126⋮x\\210⋮x\end{cases}}\)
Ta có : 126 = 2.32.7
210 = 2.3.5.7
\(\Rightarrow\)ƯCLN(126;210) = 2.3.7 = 42
\(\Rightarrow\)ƯC(126;210) = Ư(42) = (1;2;3;6;7;14;21;42) mà 16 < x < 30 \(\Rightarrow\)x = 21
Vậy x = 21
c) 25 + 5x -43 = 251
25 + 5x - 64 = 251
25 + 5x = 251 + 64
25 + 5x = 315
5x = 315 - 25
5x = 290
x = 58
Vậy x = 58