Final answer:
Two monomials that divide to -3n²/m are -3n² and m. Dividing -3n² by m results in the desired quotient. This illustrates the exponent rule that dividing by a variable is equivalent to multiplying by the variable to the negative first power.
Step-by-step explanation:
To provide an example of two monomials that have a quotient of -3n²/m, we need to select monomials such that when we divide them, the result is the given quotient. Remembering the rules of dividing monomials which include dividing the coefficients and subtracting the exponents, we can use the following monomials:
m
Now let's perform the division:
-3n²/m = (-3n²) ÷ (m) = -3n²/m
The first monomial is -3n² and the second monomial is m. When these are divided, as shown, we get the expected quotient of -3n²/m.
Another way to see this is when you use the property of negative exponents which states that a negative exponent represents the reciprocation of the base to the positive power. So, when we have a division like this, we can think of m as m¹, and when we divide by m, it is the same as multiplying by m⁻¹, according to the rules of exponents.