Question

comparati numerele
${3}^{36} \\ {2}^{48}$

Answer 1

3^36 = (3^3)^12 = 27^12
2^48 = (2^4)^12 = 16^12

27^12 > 16^12 ==> 3^36 > 16^12

Answer 2

36 = 2²×3²
48 = 2⁴×3
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c.m.m.d.c.=2²×3 = 12

⇒3³⁶ = (3³)¹² = 27¹²
   2⁴⁸ = (2⁴)¹²= 16¹²
=> 27¹² > 16¹²  deci:  3³⁶ > 2⁴⁸