Theory:

When dividing a monomial by a monomial, we divide their coefficients and we divide the exponents with equal bases.
Important!
Remember:
 
an:am=anmanam=anm
Example:
Divide the monomials 8x2y6:4xy3 
1) If the variable factor exponent is not specified, it is always \(1\).
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2) Divide the coefficients and the exponents with equal bases. When you divide the exponents, you actually subtract them.
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3) You may choose not to write the multiplication operators (or signs). If the variable factor exponent is \(1\), we usually do not write it.
 
The quotient of the given monomials is:  
    115.PNG 
Example:
Divide the monomials 3m6n2:6mn2
134.PNG
 
If the exponent is \(0\), then the value of the factor exponent is \(1\), that is n0=1
 
135.PNG