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100:{250:[450-(4.53-22.25)}]
=100:{250:[450-(500-100)]}
=100:{250:[450-400]}
=100:{250:50}
=100:5
=20
100:{250:[450-(4.5^3-2^2.25)]}
=100:{250:[450-(4.125-4.25)]}
=100:{250:[450-(500-100)]}
=100:{250:[450-400]}
=100:{250:50}
=100:5
=20
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\(100:\left\{250:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\)
= \(100:\left\{250:\left[450-\left(2^2.5^3-2^2.5^2\right)\right]\right\}\)
= \(100:\left\{250:\left[450-2^2.5^2\left(5-1\right)\right]\right\}\)
= \(100:\left[250:\left(450-100.4\right)\right]\)
=\(100:\left(250:50\right)\)
= \(100:5\)
= \(20\)
a: \(25\cdot2^3-\left\lbrack164-\left(12-4\right)^2\right\rbrack+10\cdot2018\)
\(=25\cdot8-\left\lbrack164-8^2\right\rbrack+10\cdot2018\)
=200-(164-64)+20180
=20380-100
=20280
b: \(100:\left\lbrace250:\left\lbrack450-\left(4\cdot5^3-2^2\cdot25\right)\right\rbrack\right\rbrace\)
=100:{250:[450-(4*125-4*25)]}
=100:{250:[450-(500-100)]}
=100:{250:[450-400]}
=100:{250:50}
=100:5
=20
a, 600 : { 450 : 450 - 4 . 5 3 - 2 3 . 5 2 }
= 600:{450:[450 - (4.125 - 8.25)]} = 600:{450:[450 - (500 - 200)]}
= 600:{450:[450 - 300]} = 600:{450:150} = 600:3 = 200
b, 18 . { 420 : 6 - 150 - ( 68 . 2 - 2 3 . 5 ) }
= 18.{70 - [150 - (68.2 - 8.5)]} = 18.{70 - [150 - (136 - 40)]}
= 18.{70 - [150 - 96]} = 18.{70 - 54} = 18.16 = 288
\(\frac{\left(2^{100}+2^{101}+2^{102}\right)}{\left(2^{97}+2^{98}+2^{99}\right)}=\frac{2^{100}(1+2+2^2)}{2^{97}(1+2+2^2)}=\frac{2^{100}(1+2+4)}{2^{97}(1+2+4)}=\frac{2^{100}\cdot7}{2^{97}\cdot7}=\frac{2^{100}}{2^{97}}=2^{100-97}=2^3=8\)
Ta có: \(\frac{2^{100}+2^{101}+2^{102}}{2^{97}+2^{98}+2^{99}}\)
\(=\frac{2^{100}\left(1+2+2^2\right)}{2^{97}\left(1+2+2^2\right)}=2^3=8\)

450.(-2) = -900