Question

Calculați cmmdc si cmmmc pentru numerele a=4 la puterea 17+8 la puterea 11 si b=27 la puterea 8+9 la puterea 12

Answer 1

a=4¹⁷+8¹¹=2³⁴+2³³=2³³×(2+1)=2³³×3
b=27⁸+9¹²=3²⁴+3²⁴=3²⁴×(1+1)=3²⁴×2
cmmdc=2×3=6
cmmmc=2³³×3²⁴

Answer 2

a=2^34+2^33=2^33(2+1)=3*2^33
b=3^24+3^24=2*3^24

(2^33 *3, 2*3^24)=2*3=6
[2^33 * 3, 2*3^24]=2^33 *3^24