There are a few general rules:
$${{\mathtt{X}}}^{{\mathtt{a}}}{\mathtt{\,\times\,}}{{\mathtt{X}}}^{{\mathtt{b}}} = {{\mathtt{X}}}^{\left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right)}$$
$${\frac{{{\mathtt{X}}}^{{\mathtt{a}}}}{{{\mathtt{x}}}^{{\mathtt{b}}}}} = {{\mathtt{X}}}^{\left({\mathtt{a}}{\mathtt{\,-\,}}{\mathtt{b}}\right)}$$
$${{\mathtt{X}}}^{{\mathtt{a}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{X}}}^{{\mathtt{a}}} = {\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{X}}}^{{\mathtt{a}}}$$
$${\left({{\mathtt{X}}}^{{\mathtt{a}}}\right)}^{{\mathtt{b}}} = {{\mathtt{X}}}^{{\mathtt{ab}}}$$
Example:
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {\left({{\mathtt{3}}}^{{\mathtt{2}}}\right)}^{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{9}}}^{{\mathtt{x}}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{\frac{{{\mathtt{9}}}^{{\mathtt{x}}}}{{{\mathtt{9}}}^{{\mathtt{3}}}}}$$
$${f}{\left({\mathtt{x}}\right)} = {\mathtt{729}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{729}}}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}$$
$${f}{\left({\mathtt{x}}\right)} = \left({\mathtt{729}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{729}}}}\right){\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}$$
Something like that?
There are a few general rules:
$${{\mathtt{X}}}^{{\mathtt{a}}}{\mathtt{\,\times\,}}{{\mathtt{X}}}^{{\mathtt{b}}} = {{\mathtt{X}}}^{\left({\mathtt{a}}{\mathtt{\,\small\textbf+\,}}{\mathtt{b}}\right)}$$
$${\frac{{{\mathtt{X}}}^{{\mathtt{a}}}}{{{\mathtt{x}}}^{{\mathtt{b}}}}} = {{\mathtt{X}}}^{\left({\mathtt{a}}{\mathtt{\,-\,}}{\mathtt{b}}\right)}$$
$${{\mathtt{X}}}^{{\mathtt{a}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{X}}}^{{\mathtt{a}}} = {\mathtt{2}}{\mathtt{\,\times\,}}{{\mathtt{X}}}^{{\mathtt{a}}}$$
$${\left({{\mathtt{X}}}^{{\mathtt{a}}}\right)}^{{\mathtt{b}}} = {{\mathtt{X}}}^{{\mathtt{ab}}}$$
Example:
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{3}}}^{\left({\mathtt{2}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {\left({{\mathtt{3}}}^{{\mathtt{2}}}\right)}^{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}\right)}{\mathtt{\,\small\textbf+\,}}{{\mathtt{9}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}$$
$${f}{\left({\mathtt{x}}\right)} = {{\mathtt{9}}}^{{\mathtt{x}}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{\frac{{{\mathtt{9}}}^{{\mathtt{x}}}}{{{\mathtt{9}}}^{{\mathtt{3}}}}}$$
$${f}{\left({\mathtt{x}}\right)} = {\mathtt{729}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{729}}}}{\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}$$
$${f}{\left({\mathtt{x}}\right)} = \left({\mathtt{729}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{729}}}}\right){\mathtt{\,\times\,}}{{\mathtt{9}}}^{{\mathtt{x}}}$$
Something like that?