[tex]
{\text{Here, we have the algebraic expression}} \hfill \\
8w \times {2^2} - 18w \hfill \\
{\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\
{\text{and then the resultant will be multiply with the monomial }}18w \hfill \\
8w \times {2^2} - 18w \hfill \\
= 8 \times w \times {2^2} - 18w \hfill \\
= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\
= \left( {8 \times 4} \right) \times w - 18w \hfill \\
= 32 \times w - 18w \hfill \\
= 32w - 18w \hfill \\
= 14w \hfill \\
[/tex]
