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a) 2^7 . 9^3 / 6^5 . 8^2
= 2^7 . 3^9 / 2^5 . 3^5 . 2^6
= 2^-4 . 3^4
a. 45 - 12 - 5 - 23
= ( 45 - 5 ) - ( 12 + 23 )
= 40 - 40
= 0
b. 2534 - 150 - 834
= ( 2534 - 834 ) - 150
= 1700 - 150
= 1550.
d. \(\frac{7}{3}-\frac{11}{5}-\frac{4}{5}\)
= \(\frac{7}{3}-\left(\frac{11}{5}+\frac{4}{5}\right)\)
= \(\frac{7}{3}-3\)
= \(\frac{-2}{3}\)
e. \(\frac{18}{13}+\frac{55}{46}+\frac{5}{13}\)
= \(\left(\frac{18}{13}+\frac{5}{13}\right)+\frac{55}{46}\)
= \(\frac{23}{13}+\frac{55}{46}\)
= \(\frac{1753}{598}\)
f. \(\left(\frac{27}{25}-\frac{4}{9}\right)-\left(\frac{2}{25}-\frac{5}{9}\right)\)
\(=\frac{27}{25}-\frac{4}{9}-\frac{2}{25}+\frac{5}{9}\)
\(=\left(\frac{27}{25}-\frac{2}{25}\right)-\left(\frac{4}{9}+\frac{5}{9}\right)\)
\(=1-1\)
\(=0\)
h. 8,275 - 1,56 - 3,215
= ( 8,275 - 3,215 ) - 1,56
= 5,06 - 1,56
= 3,5
j. 18,72 - 9,6 - 3,72 - 0,4
= ( 18,72 - 3,72 ) - ( 9,6 + 0,4 )
= 15 - 10
= 5
k. 46,55 + 20,33 + 25,67
= 46,55 + ( 20,33 + 25,67 )
= 46,55 + 46
= 92,55
l. 20 - 0,5 - 1,5 - 2,5 - 3,5 - 4,5 - 6,5
= 20 - ( 0,5 + 1,5 + 2,5 + 3,5 + 4,5 + 6,5 )
= 20 - 19
= 1
Không biết có đúng không nữa❤
1).( 27,56 x 35 ) + ( 27,56 x 67 ) - ( 27,56 x 2)
= (964 + 1846,52) - 55,12
=2810,52 - 55,12
= 2755,4
2).( 4x 35 ) x ( 25 x 5 ) x 2
= ( 140 x 125 ) x2
= 17500 x 2
=35000
4). 3/10
5). 1188
6). 61/6
a) \(\frac{18^4.3^2.8^3}{27^3.16^2}=\frac{\left(2.3^2\right)^4.3^2.\left(2^3\right)^3}{\left(3^3\right)^3.\left(2^4\right)^2}=\frac{2^4.2^9.3^8.3^2}{3^9.2^8}=\frac{2^{13}.3^{10}}{3^9.2^8}=3.2^5=96\)
b) \(\frac{35^5.9^3.8^5}{81^4.32^5}=\frac{35^5.\left(3^2\right)^3.\left(2^3\right)^5}{\left(3^4\right)^4.\left(2^5\right)^5}=\frac{35^5.3^6.2^{15}}{3^{16}.2^{25}}=\frac{35^5}{3^{10}.2^{10}}=\frac{35^5}{6^{10}}\)
c) \(\frac{48^5.18^2}{81^2.34^4}=\frac{\left(2^4.3\right)^5.\left(2.3^2\right)^2}{\left(3^4\right)^2.\left(2.17\right)^4}=\frac{2^{20}.3^5.2^2.3^4}{3^8.2^4.17^4}=\frac{2^{22}.3^9}{3^8.2^4.17^4}=\frac{2^{18}.3}{17^4}\)
d) \(\frac{54^7.27^3.16^2}{243^2.64^3}=\frac{\left(2.3^3\right)^7.\left(3^3\right)^3.\left(2^4\right)^2}{\left(3^5\right)^2.\left(2^6\right)^3}=\frac{2^7.3^{21}.3^9.2^8}{3^{10}.2^{18}}=\frac{2^{15}.3^{30}}{3^{10}.2^{18}}=\frac{3^{20}}{2^3}\)
(-13/31 + -18/31) : 5/17 . 25/34 = -1 . 17/5 . 25/34
= -17/5 . 25/34
= -425/170
= -5/2
a,91-5(5+x)=61
=>25+5x=91-61=30
=>5x=30-25=5
=>x=1
b,\([\left(x+34\right)-50]\)x2=56
=>(x+34)-50=56:2=28
=>x+34=28+50=78
=>x=78-34=44.
c,1045-\([2015-\left(3x-24\right)]\)=5
=>2015-(3x-24)=1045-5=1040
=>3x-24=2015-1040=975
=>3x=975+24=999
=>x=999:3=333
d,\([195-\left(3x-27\right)]\)x39=4212
=>195-(3x-27)=4212:39=108
=>3x-27=195-108=87
=>3x=87+27=117
=>x=39
e,30-3(x-2)=18
=>30-3x+6=18
=>30-3x=18-6=12
=>3x=30-12=18
=>x=18:3=6
a) \(...\Rightarrow5\left(5+x\right)=91-61=30\)
\(\Rightarrow\left(5+x\right)=30:5=6\Rightarrow x=6-5=1\)
b) \(...\Rightarrow\left(x+34\right)-50=56:2=28\)
\(\Rightarrow\left(x+34\right)=28+50=78\Rightarrow x=78-34=44\)
c) \(...\Rightarrow2015-\left(3x-24\right)=1045-5=1040\)
\(\Rightarrow\left(3x-24\right)=2015-1040=975\)
\(\Rightarrow3x=975+24=999\Rightarrow x=999:3=333\)
d) \(...\Rightarrow195-\left(3x-27\right)=4212:39=108\)
\(\Rightarrow\left(3x-27\right)=195-108=87\)
\(\Rightarrow3x=87+27=114\Rightarrow x=114:3=38\)
e) \(...\Rightarrow3\left(x-2\right)=30-18=12\Rightarrow x-2=12:3=4\)
\(\Rightarrow x=4+2=6\)
5 × 2/5 +-9/3 : 27/18 - (2,5 × 5/3 - 34% )
= 5 × 2/5 +-9/3 : 27/18 - (2,5 × 5/3 - 17/50 )
= 5 × 2/5 +-9/3 : 27/18 - 287/75
= 2 + 2 -287/75
= 4-287/75
= 13/75