Explicație pas cu pas:
[tex] \bf \big[ \big(2^{2019}+2^{2019}\big):\big(2^{10^{3}}\big )-2^{19}\big]:2^{12} = [/tex]
[tex]\bf \big[ 2^{2019} \cdot\big(2^{2019 - 2019}+2^{2019 - 2019}\big):2^{1000}-2^{19}\big]:2^{12} = [/tex]
[tex]\bf \big[ 2^{2019} \cdot\big(2^{0}+2^{0}\big):2^{1000}-2^{19}\big]:2^{12} = [/tex]
[tex]\bf \big[ 2^{2019} \cdot\big(1+1\big):2^{1000}-2^{19}\big]:2^{12} = [/tex]
[tex]\bf \big(2^{2019} \cdot2:2^{1000}-2^{19}\big):2^{12} = [/tex]
[tex]\bf \big(2^{2019 + 1 - 1000} - 2^{19}\big):2^{12} = [/tex]
[tex]\bf \big(2^{1020} - 2^{19}\big):2^{12} = [/tex]
[tex]\bf 2^{19}\cdot\big(2^{1020 - 19} - 2^{19 - 19}\big):2^{12} = [/tex]
[tex]\bf 2^{19}\cdot\big(2^{1001} - 2^{0}\big):2^{12} = [/tex]
[tex]\bf 2^{19 - 12}\cdot\big(2^{1001} - 1\big) = [/tex]
[tex] \red{ \boxed{\bf \: 2^{7}\cdot\big(2^{1001} - 1\big) \: }}[/tex]
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