4. Dado el número: A = 18* . 16* hallar "X", si el número "A" tiene 55 divisores.
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Verified answer
Explicación paso a paso:
A = 18ⁿ × 16ⁿ
A = (3²×2)ⁿ × (2⁴)ⁿ
A = 3^2n × 2ⁿ × 2^4n
A = 3^2n × 2^5n
Total de divisores : 55
55 = (2n+1)(5n+1)
(5)(11) = (2n+1)(5n+1)
n = 2