Question

Calculați c. m. m. m. c 81^12+9^24 și 27^15+3^45​

Answer 1

Răspuns:

81^12+9^24=(3^4)^12+(3²)^24=3^(4·12)+3^(2·24)=3^48+3^48=3^48(1+1)=

=3^48·2

27^15+3^45=(3³)^15+3^45=3^45+3^45=3^45(1+1)=3^45·2

[2·34^48, 2·3^45]=2·3^48