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)

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

Avaliar

$$60760$$

Passos Para a Resolução

Calcule 7 elevado a 2 e obtenha 49.

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

Calcule 1 elevado a 2 e obtenha 1.

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

Calcule 2 elevado a 2 e obtenha 4.

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

Some 1 e 4 para obter 5.

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

Calcule 3 elevado a 2 e obtenha 9.

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

Some 5 e 9 para obter 14.

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

Calcule 4 elevado a 2 e obtenha 16.

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

Some 14 e 16 para obter 30.

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

Calcule 5 elevado a 2 e obtenha 25.

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

Some 30 e 25 para obter 55.

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

Calcule 6 elevado a 2 e obtenha 36.

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

Some 55 e 36 para obter 91.

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

Calcule 7 elevado a 2 e obtenha 49.

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

Some 91 e 49 para obter 140.

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

Calcule 8 elevado a 2 e obtenha 64.

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

Some 140 e 64 para obter 204.

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

Calcule 9 elevado a 2 e obtenha 81.

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

Some 204 e 81 para obter 285.

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

Calcule 10 elevado a 2 e obtenha 100.

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

Some 285 e 100 para obter 385.

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

Calcule 11 elevado a 2 e obtenha 121.

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

Some 385 e 121 para obter 506.

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

Calcule 12 elevado a 2 e obtenha 144.

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

Some 506 e 144 para obter 650.

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

Calcule 13 elevado a 2 e obtenha 169.

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

Some 650 e 169 para obter 819.

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

Calcule 14 elevado a 2 e obtenha 196.

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

Some 819 e 196 para obter 1015.

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

Calcule 15 elevado a 2 e obtenha 225.

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

Some 1015 e 225 para obter 1240.

$$49\times 1240$$

Multiplique 49 e 1240 para obter 60760.

$$60760$$

Fatorizar

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