Răspuns: [tex]\bf \red{\underline{~10~}}[/tex]
Explicație pas cu pas:
[tex]\bf10\cdot\bigg\{24^2:576+3\cdot\Big[\big(3^{2}\cdot2\big)^{15}:\big(3^{29}\cdot2^{15}\big)+1^{21}\Big]\bigg\} : 13 =[/tex]
[tex]\bf 10\cdot\bigg\{576:576+3\cdot\Big[\big(3^{2\cdot 15}\cdot2^{15}\big):\big(3^{29}\cdot 2^{15}\big)+1\Big]\bigg\} : 13 =[/tex]
[tex]\bf 10\cdot\bigg\{576:576+3\cdot\Big[\big(3^{30}\cdot2^{15}\big):\big(3^{29}\cdot2^{15}\big)+1\Big]\bigg\} : 13 =[/tex]
[tex]\bf 10\cdot\bigg\{576:576+3\cdot\Big[\big(3^{30-29}\cdot2^{15-15}\big)+1\Big]\bigg\} : 13 =[/tex]
[tex]\bf10\cdot\bigg\{576:576+3\cdot\Big[\big(3^{1}\cdot2^{0}\big)+1\Big]\bigg\} : 13 =[/tex]
[tex]\bf 10 \cdot \big(1 + 3\cdot4\big) : 13 =[/tex]
[tex]\bf 10 \cdot 13 : 13 =[/tex]
[tex]\bf \red{\underline{~10~}}[/tex]
