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ta co \(\frac{25^4.7^2+5^8.2^3}{5^8.2^3-25^4}=\frac{5^8.7^2+5^8.2^3}{5^8.2^3-5^8}=\frac{5^8\left(7^2+2^3\right)}{5^8\left(2^3-1\right)}=\frac{7^2+2^3}{2^3-1}=\frac{57}{7}\)
Ta có: \(\frac{4^6.25^5-2^{12}.25^4}{2^{12}.5^8-10^8.64}=\frac{2^{12}.5^{10}-2^{12}.5^8}{2^{12}.5^8-2^8.5^8.2^6}\)
\(=\frac{2^{12}.\left(5^{10}-5^8\right)}{2^{12}.5^8-2^{14}.5^8}\)
\(=\frac{2^{12}.5^8.\left(5^2-1\right)}{5^8.\left(2^{12}-2^{14}\right)}\)
\(=\frac{2^{12}.5^8.24}{5^8.2^{12}.\left(1-2^2\right)}\)
\(=\frac{24}{-3}\)
\(=-8\)
Học "tuốt" nha^^
\(\frac{25^4\cdot7^2+5^8\cdot49}{5^8\cdot2^3-25^4}=\frac{5^8\cdot7^2+5^8\cdot7^2}{5^8\cdot2^3-5^8}=\frac{5^8\cdot7^2\cdot\left(1+1\right)}{5^8\cdot\left(2^3-1\right)}=\frac{2\cdot5^8\cdot7^2}{5^8\cdot7}=2\cdot7=14\)
\(a,10^8.2^8=\left(10.2\right)^8=20^8\)
\(b,10^8:2^8=\left(10:2\right)^8=5^8\)
\(c,25^4.2^8=25^4.\left(2^2\right)^4=25^4.4^4=\left(25.4\right)^4=100^4\)
\(d,15^8.9^4=15^8.\left(3^2\right)^4=15^8.3^8=\left(15.3\right)^8=45^8\)
\(e,27^2.25^3=\left(3^3\right)^2.\left(5^2\right)^3=3^6.5^6=\left(3.5\right)^6=15^6\)
a, 108 . 28
= ( 10 . 2 ) 8
= 208
b, 108 : 28
= ( 10 : 2 )8
= 58
c, 254 . 28
= ( 52 )4 . 28
= 58 . 28
= ( 5 . 2 ) 8
= 108
d, 158 . 94
= 158 . ( 32 )4
= 158 . 38
= ( 15 . 3 ) 8
= 458
e, 272 . 253
= ( 33 )2 . ( 52 ) 3
= 36 . 56
= ( 3 . 5 ) 6
= 15 6
a) 108.28=(10.2)8=208
b)108:28=(10:2)8=58
c)254.28=(52)4.28=58.28=(5.2)8=108
d)158.94=158.(32)4=158.38=(15.3)8=458
e)272:253=(33)2:(52)3=36:56=(3:5)6=\(\left(\frac{3}{5}\right)^6\)
=390625x256=100000000
Đề bài yêu cầu gì em nhỉ?