Multiplying and Dividing Monomials

Monomial Multiplication Example
Simplify:

(1)   \begin{equation*} a^{2}b^{3} * ab^{2}c\end{equation*}

(2)   \begin{equation*} a^{2}*a = a^{2 + 1} = a^{3}\end{equation*}

(3)   \begin{equation*} b^{3} * b^{2} = b^{3 + 2} \end{equation*}

(4)   \begin{equation*} \boxed{a^{3}*b^{5}*c}\end{equation*}

Monomial Division Example
Simplify:

(5)   \begin{equation*} \frac{a^{3}*b{2}}{a^{2}*b^{3}}\end{equation*}

(6)   \begin{equation*} \frac{a^{3}}{a^{2}} = a^{3 - 2} = a\end{equation*}

(7)   \begin{equation*} \frac{b^{2}}{b^{3}} = b^{2 - 3} = b^{-1} = \frac{1}{b}\end{equation*}

(8)   \begin{equation*} \boxed{\frac{a}{b}}\end{equation*}