Răspuns: [tex]\bf \red{\underline{2^{4}}}[/tex]
Explicație pas cu pas:
[tex]\bf c) ~2\cdot 2^{2}\cdot 2^{2^2}:\big[2+2^2+ 2^{2^2}:\big( 2^{2^2}-2^2\cdot2\big)\big][/tex]
[tex]\bf 2\cdot 2^{2}\cdot 2^{4}:\big[2+2^2+ 2^{4}:\big( 2^{4}-2^2\cdot2\big)\big]=[/tex]
[tex]\bf 2^{1+2+4}:\big[2+2^2+ 2^{4}:\big( 2^{4}-2^{2+1}\big)\big]=[/tex]
[tex]\bf 2^{7}:\big[2+2^2+ 2^{4}:\big( 2^{4}-2^{3}\big)\big]=[/tex]
[tex]\bf 2^{7}:\big\{2+2^2+ 2^{4}:\big[2^{3}\cdot\big( 2^{4-3}-2^{3-3}\big)\big]\big\}=[/tex]
[tex]\bf 2^{7}:\big\{2+2^2+ 2^{4}:\big[2^{3}\cdot\big( 2^{1}-2^{0}\big)\big]\big\}=[/tex]
[tex]\bf 2^{7}:\big\{2+2^2+ 2^{4}:\big[2^{3}\cdot\big( 2-1\big)\big]\big\}=[/tex]
[tex]\bf 2^{7}:\big[2+2^2+ 2^{4}:\big(2^{3}\cdot1\big)\big]=[/tex]
[tex]\bf 2^{7}:\big(2+2^2+ 2^{4}:2^{3}\big)=[/tex]
[tex]\bf 2^{7}:\big(2+2^2+ 2^{4-3}\big)=[/tex]
[tex]\bf 2^{7}:\big(2+2^2+ 2^{1}\big)=[/tex]
[tex]\bf 2^{7}:\big(2+4+ 2\big)=2^{7}:8=[/tex]
[tex]\bf 2^{7}:2^{3}= 2^{7-3}=\red{\underline{2^{4}}}[/tex]
