Answer:
[tex]10m^2n^7[/tex]
Step-by-step explanation:
[tex]-50m^4n^7 \ and \ 40m^2n^{10}[/tex]
WE need to find GCf for both monomials. GCF is the greatest common factor
[tex]-50 ->-1 \cdot 5 \cdot 5 \cdot 2[/tex]
[tex]40 ->2 \cdot 2 \cdot 5 \cdot 2[/tex]
GCF is 2 times 5 =10
GCF of exponent is the lowest exponent
GCF of m^4 and m^2 is m^2
GCF of n^7 and n^10 is n^7
[tex]-50m^4n^7 \ and \ 40m^2n^{10}[/tex]
GCF is [tex]10m^2n^7[/tex]
