Algèbre linéaire Exemples

$899^{9} [\begin{array}{c} 8 & 69 & 9 & 61 \\ 4 & 5 & 5 & 5 \\ 4 & 5 & 87 & 7 \end{array}]$

Étape 1

Élevez $899$ à la puissance $9$ .

$383563458231675000000000000 [\begin{array}{c} 8 & 69 & 9 & 61 \\ 4 & 5 & 5 & 5 \\ 4 & 5 & 87 & 7 \end{array}]$

Étape 2

Multipliez $383563458231675000000000000$ par chaque élément de la matrice.

$[\begin{array}{c} 383563458231675000000000000 \cdot 8 & 383563458231675000000000000 \cdot 69 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3

Simplifiez chaque élément dans la matrice.

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Étape 3.1

Multipliez $383563458231675000000000000$ par $8$ .

$[\begin{array}{c} 3068507665853400000000000000 & 383563458231675000000000000 \cdot 69 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.2

Multipliez $383563458231675000000000000$ par $69$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 383563458231675000000000000 \cdot 9 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.3

Multipliez $383563458231675000000000000$ par $9$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 383563458231675000000000000 \cdot 61 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.4

Multipliez $383563458231675000000000000$ par $61$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.5

Multipliez $383563458231675000000000000$ par $4$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.6

Multipliez $383563458231675000000000000$ par $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.7

Multipliez $383563458231675000000000000$ par $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 5 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.8

Multipliez $383563458231675000000000000$ par $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 383563458231675000000000000 \cdot 4 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.9

Multipliez $383563458231675000000000000$ par $4$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 383563458231675000000000000 \cdot 5 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.10

Multipliez $383563458231675000000000000$ par $5$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 383563458231675000000000000 \cdot 87 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.11

Multipliez $383563458231675000000000000$ par $87$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 33370020866155725000000000000 & 383563458231675000000000000 \cdot 7 \end{array}]$

Étape 3.12

Multipliez $383563458231675000000000000$ par $7$ .

$[\begin{array}{c} 3068507665853400000000000000 & 26465878617985575000000000000 & 3452071124085075000000000000 & 23397370952132175000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 & 1917817291158375000000000000 \\ 1534253832926700000000000000 & 1917817291158375000000000000 & 33370020866155725000000000000 & 2684944207621725000000000000 \end{array}]$