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a,84.163.32
= (23)4.(24)3.32
= 212.212.32 = 224.32
b,273.94:812
= (32)3.(33)4:(34)2 = 36.312:38 = 318:38 = 310
c,164.38 = 164.(32)4 = 164.94 = 1444
k mk nhá
a) 123.42 -39.33=123.16 - 39.27 = 915
b) 53 . 48 + 53 . 22 = 53 . ( 48 + 22) = 125 . 70 = 8750
c) 815 : 813 + 39 : 36 = 82 + 33 = 64 + 27 = 91
d) 53 . 49 + 53 . 51 - 128 = 53 . ( 49 + 51 ) -128 = 5300-128 = 5172
a) 410 x 230 = (22)10 x 230 = 220 x 230 = 250
b) 925.274.813= (32)25.(33)4.(34)3= 350.312.312= 374
c) 2550.1255= (52)50.(53)5 = 5100.515= 5115
d) 643.48.64= (26)3.(22)8. (2.3)4 = 218.216.24.34=238.81
Giải:
a) \(4.2^5:\left(2^3.\dfrac{1}{16}\right)\)
\(=4.2^5:\dfrac{2^3}{16}\)
\(=2^2.2^5:\dfrac{2^3}{2^4}\)
\(=2^7:\dfrac{1}{2}\)
\(=2^6=64\)
Vậy ...
b) \(\dfrac{8^5.10^4.25^3}{16^4.625^3}\)
\(=\dfrac{2^{15}.2^4.5^4.5^6}{2^8.5^{12}}\)
\(=\dfrac{2^{19}.5^{10}}{2^8.5^{12}}\)
\(=\dfrac{2^{11}}{5^2}\)
Vậy ...
c) \(C=2^{200}-2^{199}+2^{198}-2^{197}+...+2^2-2\)
\(\Leftrightarrow C=\left(2^{200}-2^{199}\right)+\left(2^{198}-2^{197}\right)+...+\left(2^2-2\right)\)
\(\Leftrightarrow C=2^{199}\left(2-1\right)+2^{197}\left(2-1\right)+...+2\left(2-1\right)\)
\(\Leftrightarrow C=2^{199}+2^{197}+...+2\)
\(\Leftrightarrow4C=2^{201}+2^{199}+...+2^3\)
\(\Leftrightarrow3C=4C-C=2^{201}-2\)
\(\Leftrightarrow C=\dfrac{2^{201}-2}{3}\)
Vậy ...
a) 20.16+20.35+20.49
=20.(16+35+49)
=20.100=2000
b) 5.(|-13|-500)+|-2017|
=5.(13-500)+2017
=5.(13-1)+2017
=5.12+2017
=60+2017=2077
c) (24.22-32.7)2017
=(16.4-9.7)2017
=(64-63)2017
=12017=1
d) 160:{180-[36-(22.16-22.12)]}
= 160:{180-[36-(4.16-4.12)]}
=160:{180-[36-4(16-12)]}
=
160:{180-[36-4.4]}
=
160:{180-[36-16
]}
=160:
{180-20
}
=160:160=1
a: \(=168:\left[180-\left(36+2^3\cdot8\right)\right]=168:80=\dfrac{21}{10}\)
b: =62-81-12+59-9
=50+50-81
=100-81
=19
c: \(=298\cdot198-298\cdot127+198\cdot127-198\cdot298\)
=127x(-100)=-12700