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5ⁿ⁺⁴ + 5ⁿ⁺¹
-------------- = Aplicas propiedad de la potenciación
5ⁿ⁺² aⁿ . aˣ = aⁿ⁺ˣ
(5ⁿ * 5⁴) + ( 5ⁿ * 5)
-------------------------- = Sacas factor comun 5ⁿ * 5
5ⁿ * 5²
5ⁿ * 5( 5³ + 1)
------------------- = Simplificas 5ⁿ * 5
5ⁿ * 5 * 5
5³ + 1 125 + 1
--------- = -------------- =
5 5
126/5
Respuesta.
Opción. C = 126/5
[3⁸/⁵ * 3⁴/⁹][3⁵/⁹ * 3²/⁵] = Aplicas aⁿ * aˣ = aⁿ⁺ˣ
3⁽⁸/⁵ ⁺⁴/⁹ ⁺ ⁵/⁹ ⁺ ²/⁵⁾ =
3(⁸/⁵⁺²/⁵) ⁺⁽⁴/⁹ ⁺ ⁵/⁹⁾ =
3⁽¹⁰/⁵⁺⁹/⁹⁾ =
3²⁺¹ =
3³ =
3 * 3 * 3 =
27
Respuesta.
Opción C = 27