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Popular >

1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2+10^2

Solución

1^{2} + 2^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Solución

385

Pasos de solución

1^{2} + 2^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Seguir el orden PEMDAS de las operaciones

Calcular exponentes

1^{2} : 1

1^{2}

1^{2} = 1

= 1

= 1 + 2^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 1 + 4 + 3^{2} + 4^{2} + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

3^{2} : 9

3^{2}

3^{2} = 9

= 9

= 1 + 4 + 9 + 4^{2} + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

4^{2} : 16

4^{2}

4^{2} = 16

= 16

= 1 + 4 + 9 + 16 + 5^{2} + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

5^{2} : 25

5^{2}

5^{2} = 25

= 25

= 1 + 4 + 9 + 16 + 25 + 6^{2} + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

6^{2} : 36

6^{2}

6^{2} = 36

= 36

= 1 + 4 + 9 + 16 + 25 + 36 + 7^{2} + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

7^{2} : 49

7^{2}

7^{2} = 49

= 49

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 8^{2} + 9^{2} + 1 0^{2}

Calcular exponentes

8^{2} : 64

8^{2}

8^{2} = 64

= 64

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 9^{2} + 1 0^{2}

Calcular exponentes

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 1 0^{2}

Calcular exponentes

1 0^{2} : 100

1 0^{2}

1 0^{2} = 100

= 100

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100

Sumar y restar (de izquierda a derecha)

1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 : 385

1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100

1 + 4 = 5

= 5 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100

5 + 9 = 14

= 14 + 16 + 25 + 36 + 49 + 64 + 81 + 100

14 + 16 = 30

= 30 + 25 + 36 + 49 + 64 + 81 + 100

30 + 25 = 55

= 55 + 36 + 49 + 64 + 81 + 100

55 + 36 = 91

= 91 + 49 + 64 + 81 + 100

91 + 49 = 140

= 140 + 64 + 81 + 100

140 + 64 = 204

= 204 + 81 + 100

204 + 81 = 285

= 285 + 100

285 + 100 = 385

= 385

= 385

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