Multiplying and Dividing Monomials

Consider the following MULTIPLICATION problem:
 $3x^2\cdot2x^3$ 

Begin by MULTIPLYING the coefficients from each term.
 $3\cdot2=6$  

Consider the following MULTIPLICATION problem:

 $3x^2\cdot2x^3$ 

Then move from variable to variable multiplying any matching variables by ADDING their exponents.
 $x^2\cdot x^3=x^{2+3}=x^5$  

To complete this problem, we must multiply all of the coefficients and the variables and write them together as one term starting with the coefficient:

                $3x^2\cdot2x^3=\ ???$    

Consider the following DIVISION problem:
 $\frac{6x^5}{3x^2}$ 

Begin by DIVIDING the coefficients from each term.
 $\frac{6}{3}=2$  

Consider the following DIVISION problem:
 $\frac{6x^5}{3x^2}$ 

Then move from variable to variable dividing any matching variables by SUBTRTACTING their exponents
 $\frac{x^5}{x^2}=x^{5-2}=x^3$  

To complete this problem, we must divide all of the coefficients and the variables and write them together as one term.