Question

Calculati: 3*{2*3^2+5^2:5^0+69*[2^4*3-(6^16)^2:2^30:(3^6)^5+4725:63]}

Answer 1

Răspuns: 18138 => rezultatul

Explicație pas cu pas:

$3 \times${$2 \times {3}^{2} + {5}^{2} \div {5}^{0} + 69 \times[ {2}^{4} \times 3 - ({6}^{16})^{2} \div {2}^{30} \div ({3}^{6})^{5} + 4725 \div 63 ]$}

$3 \times [2 \times {3}^{2} + {5}^{2 - 0} + 69 \times ( {2}^{4} \times 3 - {6}^{16 \times 2} \div {2}^{30} \div {3}^{6 \times 5} + 75)] = 18138 \\ 3 \times [2 \times {3}^{2} + {5}^{2} + 69 \times ( {2}^{4} \times 3 - {6}^{32} \div {2}^{30} \div {3}^{30} + 75) ] = 18138\\ 3 \times [2 \times 9 + 25 + 69 \times (16 \times 3 - {2}^{32} \times {3}^{32} \div {2}^{30} \div {3}^{30} + 75)] =18138 \\ 3 \times[18 + 25 + 69 \times (48 - {2}^{ 32 - 30} \times {3}^{32 - 30} + 75] = 18138\\ 3 \times [18 + 25 + 69 \times (48 - {2}^{2} \times {3}^{2} + 75 ] =18138 \\ 3 \times [18 + 25 + 69 \times (48 - 4 \times 9 + 75 ] =18138 \\ 3 \times [18 + 25 + 69 \times (48 - 36 + 75)]=18138 \\ 3 \times [18 + 25 + 69 \times (12 + 75) ] =18138 \\ 3 \times (18 + 25 + 69 \times 87) =18138 \\ 3 \times (18 + 25 + 6003) = 18138\\ 3 \times (43 + 6003) =18138 \\ 3 \times 6046 = \boxed{18138}$