👤

Cât face:
a)
[tex] {5}^{15} - {5}^{14} [/tex]
b)
[tex] {5}^{100} + {5}^{99} + {5}^{98} [/tex]


Răspuns :

a) 5¹⁵ - 5¹⁴ = 5¹⁴(5¹ - 1) = 5¹⁴ * 4
b) 5¹⁰⁰ + 5⁹⁹ + 5⁹⁸ = 5⁹⁸(5² + 5¹ + 1) = 5⁹⁸(25 + 5 + 1) = 5⁹⁸ * 31