Question

Dovedeste-mi ca numarul 9¹⁶+27¹¹ este patrat perfect​

Answer 1

Răspuns:

${9}^{16} = ( {3}^{2} )^{16} = {3}^{32}$

${27}^{11} = ( {3}^{3} )^{11} = {3}^{33}$

${3}^{32} + {3}^{33} = {3}^{32} \times (1 + 3) = {3}^{32} \times {2}^{2} = (2 \times {3}^{16} )^{2}$

Adică, pătrat perfect.

Answer 2

9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9*9= 1,215766545906e19
27*27 *27*27*27*27*27*27*27*27*27*27= 350.277.500.542.221
Aceste rezultate se impar fără rest la 4