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Bài 1:
520 : [ 515 . 6 + 515 . 19 ]
= 520 : [ 515 . ( 6 + 19 ) ]
= 520 : [ 515 . 25 ]
= 520 : [ 515 . 52 ]
= 520 : 517
= 53
Bài 2
a) 5x + x = 39 - 311 : 39
=> 6x = 39 - 32
=> 6x = 39 - 9
=> 6x = 30
=> x = 5
b) 7x - x = 521 : 519 + 3 . 22 - 70
=> 6x = 52 + 3 . 4 - 1
=> 6x = 25 + 12 - 1
=> 6x = 36
=> x = 6
c) 7x - 2x = 617 : 615 + 44 : 11
=> ( 7 - 2 )x = 62 + 4
=> 5x = 36 + 4
=> 5x = 40
=> x = 8
1. \(5^{20}:\left(5^{15}.6+5^{15}.19\right)=5^{20}:\left\{5^{15}\left(6+19\right)\right\}\)
\(=5^{20}:\left\{5^{15}.25\right\}=5^{20}:\left\{5^{15}.5^2\right\}\)
\(=5^{20}:5^{17}=5^3=125\)
\(\frac{A}{B}=\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)
\(=\frac{5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.2^{19}.3^{19}-7.2^{29}.\left(3^3\right)^6}\)
\(=\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}=\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)
\(=\frac{2^{29}.3^{18}.1}{2^{28}.3^{18}.1}=2\)
A = 5 x 415 x 99 - 4 x 320 x 89 = 5 x 230 x 318- 22 x 227 x 320
=229 x 318 x(2x5-32)=229 x 318
B = 5 x 29 x 619 - 7 x 229 x 276=5 x 29 x 219 x 319 - 7 x 229 x 318
=228 x 318 x (5 x 3-7 x 2)= 228.318
=>A:B= 229.318:228:318=2
=520:(515*(6+19))
=520:(515*25)
=520:(515*52)
=520:517=53=125
k cho mình nha
\(5^{20}:\left(5^{15}.6+5^{15}.19\right)\)
=\(5^{20}:5^{15}.\left(6+19\right)\)
=\(5^{20}:5^{15}.25\)
=\(5^{20}:5^{15}.5^2\)
=\(5^{20}:5^{17}\)
=\(5^3\)=125.
A=5.415.99-4.320.89=5.230.318-22.227.320
=229.318(2.5-32)=229.318
B=5.29.619-7.229.276=5.29.219.319-7.229.318
=228.318(5.3-7.2)=228.318
=>A:B=229.318:228:318=2