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a) 57 . 53 : 510 = 510 : 510 = 1
b) 24 : 23 . 27 = 2 . 27 = 28
c) 93 : 33 . 272 = ( 32 ) 3 : 33 . ( 33 ) 2 = 36 : 33 . 36 = 33 . 36 = 39
d) 25 . 13 - 25 . 5 = 25 . ( 13 - 5 ) = 25 . 8 = 25 . 23 = 28
e) \(\frac{4^6.8^3}{4^8}=\frac{\left(2^2\right)^6.\left(2^3\right)^3}{\left(2^2\right)^8}=\frac{2^{12}.2^9}{2^{16}}=\frac{2^{21}}{2^{16}}=2^5\)

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) \(\frac{54^7.27^3.16^2}{243^2.64^3}=\frac{\left(2.3^3\right)^7.\left(3^3\right)^3.\left(2^4\right)^2}{\left(3^5\right)^2.\left(2^6\right)^3}=\frac{2^7.3^{21}.3^9.2^8}{3^{10}.2^{18}}=\frac{2^{15}.3^{30}}{3^{10}.2^{18}}=\frac{3^{20}}{2^3}\)

a/ => x3 = 64 => x3 = 43 => x = 4
b/ => x5 = 32 => x5 = 25 => x = 2
c/ => 3x = 81 => 3x = 34 => x = 4
d/ => 3x+2 = 243 => 3x+2 = 35 => x + 2 = 5 => x = 3
e/ => (x - 2)3 = 64 => (x - 2)3 = 43 => x - 2 = 4 => x = 6
f/ => (x - 8)2 = 81 => (x - 8)2 = 92 => x - 8 = 9 => x = 17



1.
2^3 . 4^4 . 16^2
= 2^3 . 2^8 . 2^8
= 2^19
2.
8^6 : 2^3
= 2^18 : 2^3
= 2^15
Mấy câu kia tương tự thôi :D
1) 23.46.162=23.(22)6.(24)2=23.212.28= 223
2) 86 : 23 = (23)6 : 23 = 218 : 23 = 215
3) 273:33 =(33)3 : 33 = 39 : 33 = 36
4) 153 : 53 = (3.5)3 : 53 = 33
5^3 + ( 3^4 + 4) x 2 + (27 - 3) : 4
= 125 + ( 81 + 4) x 2 + 24 : 4
= 125 + 85 x 2 + 6
= 125 + 170 + 6
= 301
301 l-i-k-e nha bạn