Resolver 7^2(1^2+2^2+3^2+{4}^{2}+{5}^{2}+{6}^{2}+{7}^{2}+{8}^{2}+{9}^{2}+{10}^{2}+{11}^{2}+{12}^2+{13}^2+{14}^2+{15}^2)

$${ 7 }^{ 2 } ( { 1 }^{ 2 } + { 2 }^{ 2 } + { 3 }^{ 2 } + { 4 }^{ 2 } + { 5 }^{ 2 } + { 6 }^{ 2 } + { 7 }^{ 2 } + { 8 }^{ 2 } + { 9 }^{ 2 } + { 10 }^{ 2 } + { 11 }^{ 2 } + { 12 }^{ 2 } + { 13 }^{ 2 } + { 14 }^{ 2 } + { 15 }^{ 2 } )$$

Calcular

$$60760$$

Pasos da solución

Calcula 7 á potencia de 2 e obtén 49.

$$49\left(1^{2}+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 1 á potencia de 2 e obtén 1.

$$49\left(1+2^{2}+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 2 á potencia de 2 e obtén 4.

$$49\left(1+4+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 1 e 4 para obter 5.

$$49\left(5+3^{2}+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 3 á potencia de 2 e obtén 9.

$$49\left(5+9+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 5 e 9 para obter 14.

$$49\left(14+4^{2}+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 4 á potencia de 2 e obtén 16.

$$49\left(14+16+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 14 e 16 para obter 30.

$$49\left(30+5^{2}+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 5 á potencia de 2 e obtén 25.

$$49\left(30+25+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 30 e 25 para obter 55.

$$49\left(55+6^{2}+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 6 á potencia de 2 e obtén 36.

$$49\left(55+36+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 55 e 36 para obter 91.

$$49\left(91+7^{2}+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 7 á potencia de 2 e obtén 49.

$$49\left(91+49+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 91 e 49 para obter 140.

$$49\left(140+8^{2}+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 8 á potencia de 2 e obtén 64.

$$49\left(140+64+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 140 e 64 para obter 204.

$$49\left(204+9^{2}+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 9 á potencia de 2 e obtén 81.

$$49\left(204+81+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 204 e 81 para obter 285.

$$49\left(285+10^{2}+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 10 á potencia de 2 e obtén 100.

$$49\left(285+100+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 285 e 100 para obter 385.

$$49\left(385+11^{2}+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 11 á potencia de 2 e obtén 121.

$$49\left(385+121+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Suma 385 e 121 para obter 506.

$$49\left(506+12^{2}+13^{2}+14^{2}+15^{2}\right)$$

Calcula 12 á potencia de 2 e obtén 144.

$$49\left(506+144+13^{2}+14^{2}+15^{2}\right)$$

Suma 506 e 144 para obter 650.

$$49\left(650+13^{2}+14^{2}+15^{2}\right)$$

Calcula 13 á potencia de 2 e obtén 169.

$$49\left(650+169+14^{2}+15^{2}\right)$$

Suma 650 e 169 para obter 819.

$$49\left(819+14^{2}+15^{2}\right)$$

Calcula 14 á potencia de 2 e obtén 196.

$$49\left(819+196+15^{2}\right)$$

Suma 819 e 196 para obter 1015.

$$49\left(1015+15^{2}\right)$$

Calcula 15 á potencia de 2 e obtén 225.

$$49\left(1015+225\right)$$

Suma 1015 e 225 para obter 1240.

$$49\times 1240$$

Multiplica 49 e 1240 para obter 60760.

$$60760$$

Factorizar

$$2^{3}\times 5\times 7^{2}\times 31$$