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4 la puterea 1 ×4 la puterea 2 ........... 4 la puterea 50

Răspuns :

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[tex] {4}^{1} \times {4}^{2} \times ... {4}^{50} = {4}^{1 + 2 + ... + 50} [/tex]

[tex] = {4}^{ \frac{50(50 + 1)}{2} } = {4}^{ \frac{50 \times 51}{2} } = {4}^{25 \times 51} = {4}^{1275} [/tex]

[tex]=({2}^{2})^{1275}={2}^{2 \times 1275}={2}^{2550}[/tex]

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