Answer: [tex]10\ m^2\ n^7[/tex]
Step-by-step explanation:
The given monomials : [tex]-50m^4n^7\text{ and }40 m^2 n^{10}[/tex]
The prime factorization of coefficients :-
[tex]50=5\times5\times2\\\\40=5\times2\times2[/tex]
GCF(50, 40)=[tex]2\times5=10[/tex]
The greatest common degree of m is 2
The greatest common degree of n is 7
So , the GCF of the given monomilas will be :-
[tex]10\ m^2\ n^7[/tex]
