Question

aratati ca numarul c=(4^50+4^49+4^48):21 este patrat perfect si cub perfect

Answer 1

c = (4^50+4^49+4^48):21

c = 4^48 × (4^2 + 4^1 + 1) : 21

c = 4^48 × (16 + 4 + 1) : 21

c = 4^48 × 21 : 21

c = 4^48

c = (2^48)^2 p.p.
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c = 2^96 = (2^32)^3 cub perfect
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