Comparati numere a si b unde :

a= [(2²)³- 64¹ + 2¹⁸:2¹⁵] : ( 2³-7¹+589⁰)×5³

b= 10³:[(5⁷⁰:5⁷⁰-13⁰)⁵³ + 2¹⁵ : (2³×2²³)]



la punctul b : (2³×2²³)] 23 reprezina 2 la a 2 a cu 3 sus



1

Răspunsuri

2014-10-30T21:42:33+02:00
a) [(2^{2} ) ^{3} -64 ^{1} + 2^{18} :2^{15}]:(2 ^{3} -7 ^{1}+589 ^{0} )*5 ^{3} =( 2^{2*3} -2 ^{6} +2 ^{18-15}) :(8-7+1)*5 ^{3} ==(2^{6}- 2^{6} +2^{3} ):2* 5^{3} ==2^{3}:2*5^{3} = 2^{3-1} * 5^{3} = 2^{2} * 5^{3} =500

b)
 10^{3} :[(5 ^{70}:5 ^{70}-13 ^{0 }) ^{53} + 2^{15}:(2 ^{3} *(2 ^{2}) ^{3} )]=10 ^{3}:[(1-1) ^{53}  +2 ^{15} :(2 ^{3} *2 ^{6}) ]=10 ^{3} :(2 ^{15} :2 ^{9} )=10 ^{3} :2 ^{6} =5 ^{3}* 2 ^{3} =5 ^{3}* 2 ^{3} :2 ^{6}=5 ^{3} *2 ^{-3}

a>b ⇒ 2^{2} * 5^{3}>5 ^{3} *2 ^{-3}
multumesc dar rezulatatele i care sunt a = 50 si b = 1000
multumesc dar rezultatele in carte suna a = 50 si b = 1000
mk
ok?