Question

Find the GCF of the following monomials. -50m4n7 and 40m2n10

Answer 1

Answer:

Assuming you are asking for the Greatest Common Factor (GCF) of $-50m^4n^7$ and $40m^2n^{10}$ the answer is:

$10m^2n^7$

Step-by-step explanation:

To find the GCF we should first find the GCF of the coefficients 50 and 40 which is 10.

After factoring that out we need to take a look at the variable m. In monomial 1 we see that the highest exponent of m is 4 and in the second is 2. When finding GCF we take the smallest of the two exponents which is 2. Therefore the next part of our GCF monomial is m²

If we apply the same rule for n the smallest exponent is 7 resulting in the appending of $n^{7}$ to the answer

After combining each of these GCF of 40 and -50 (10), m^4 and m² (m²), and n^7 and n^10 (n^7) the answer is:

$10m^2n^7$