Answer:
Could be 6
Explanation:
An example of an order that divides both m and n could be the number 6.
To clarify, when we say "order," we are referring to the positive integer that represents the power to which a number is raised. For example, in the expression m^6, the order is 6.
In this case, if both m and n have an order of 6, it means that both numbers can be expressed as a multiple of 6 raised to the power of 6.
For instance, let's say m = 36 and n = 216. Both numbers can be written as a multiple of 6 raised to the power of 6:
m = 6^2 = 36
n = 6^3 = 216
In this example, 6 is the order that divides both m and n.
It's important to note that this is just one example, and there could be other numbers that have an order that divides both m and n. The specific numbers will depend on the values of m and n.