Răspuns :
8^15=(2^3)^15=2^45
16^11=(2^4)^11=2^44
4^23=(2^2)^23=2^46
=>
4^23 > 8^15 > 16^11
16^11=(2^4)^11=2^44
4^23=(2^2)^23=2^46
=>
4^23 > 8^15 > 16^11
a)
[tex]8 \: la \: puterea \: 15 = 8 ^{15} = ( {2}^{3} ) ^{15} = 2^{3 \times 15} = {2}^{45} [/tex]
b)
[tex]16 \: la \: puterea \: 11 = {16}^{11} = {( {2}^{4} )}^{11} = {2}^{4 \times 11} = {2}^{44} [/tex]
c)
[tex]4 \: la \: puterea \: 23 = {4}^{23} = {( {2}^{2} )}^{23} = {2}^{2 \times 23} = {2}^{46} [/tex]
Ordinea descrescatoare a numerelor este: 4^23>8^15>16^11 (c>a>b).
Semnul "^" inseamna la putere, de exemplu: a^b -> a la puterea b.
Sper ca te-am ajutat!