Question

Comparati puteriile :

16^14 si 8^21
25^25 si 5^48

Answer 1

$16^{14} = (2^{4} ) ^{14} =2 ^{4*14} = 2^{56}$

$8^{21} = (2^{3} ) ^{21} =2 ^{3*21} = 2^{63}$

$56 < 63$⇒$2^{56} <2 ^{63}$

$25^{25} = (5^{2} ) ^{25} =5 ^{2*25} = 5^{50}$

$50>48$⇒$5 ^{50} >5 ^{48}$