Question

Chứng minh rằng : 24^54x54^24x2^10 chia hết cho 72^63

Answer 1

24^54.54^24.2^10=(2^3.3)^54.(3^3.2)^24... 

=(2^3)^54.3^54.(3^3)^24.2^24.2^10 

= 2^162.2^24.2^10.3^54.3^72 

=2^196.3^126 

72^63=(2^3.3^2)^63 

=(2^3)^63(.3^2)^63=2^189.3^126 

vì 2^196.3^126 chia hết 2^189.3^126 

=>24^54.54^24.2^10 chia hết 72^63 


Nhớ Thannks nka.(5* do)

Answer 2

24^54.54^24.2^10=(2^3.3)^54.(3^3.2)^24... 

=(2^3)^54.3^54.(3^3)^24.2^24.2^10 

= 2^162.2^24.2^10.3^54.3^72 

=2^196.3^126 

72^63=(2^3.3^2)^63 

=(2^3)^63(.3^2)^63=2^189.3^126 

Vì : 2^196.3^126 chia hết 2^189.3^126 

=>24^54.54^24.2^10 chia hết 72^63 

Answer 3

Cho rằng Vế A: 24⁵⁴.54²⁴.2¹⁰