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Scrie sub forma de puteri:
47•47 la puterea 2 •47 la puterea 5

5 la puterea 0• 5 la puterea 1 •5 la puterea 2• 125• 625


Răspuns :

[tex]47 \times {47}^{2} \times {47}^{5} = {47}^{1 + 2 + 5} = {47}^{8} [/tex]

[tex] {5}^{0} \times {5}^{1} \times {5}^{2} \times 125 \times 625[/tex]

[tex] = {5}^{0} \times {5}^{1} \times {5}^{2} \times {5}^{3} \times {5}^{4} [/tex]

[tex] = {5}^{0 + 1 + 2 + 3 + 4} = {5}^{10} [/tex]

47•47² •47⁵ = 47¹⁺²⁺⁵ = 47⁸

5⁰• 5¹ •5²• 125• 625 = 5⁰•5¹ •5²•5³•5⁴ = 5⁰⁺¹⁺²⁺³⁺⁴ = 5¹⁰