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scrieti 13 la puterea 100 ca suma de patrate perfecte​

Răspuns :

13² = 169 = 144+25 = 12²+5²

13¹⁰⁰ =

= 13⁹⁸•13²

= 13⁹⁸•13²

= 13⁹⁸•169

= 13⁹⁸•(12² + 5²)

= 13⁹⁸•12² + 13⁹⁸•5²

= (13⁴⁹•12)² + (13⁴⁹•5)²