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demonstratie ca 3×3^2×3^3×3^4....×3^20 este un pastrat perfect​

Răspuns :

3¹ₓ3²ₓ...ₓ3²⁰ =

= 3¹⁺²⁺ ⁺ ²⁰

1 + 2 + .. + 20 = 20x21 : 2 = 10x21 = 210

= 3²¹⁰

= (3¹⁰⁵)²

1+2+3…+20=
=>U(N)*2:2
=>U(N)=20+1
=>20*21:2
=>10*21=210
=>3^210
=>(3^105)^2=
=>patrat perfect

^=la putere
SPER CA TE AM AJUTAT !!!