In order to determine how the products are represented in the chemical equation for photosynthesis, let's review the standard form of the photosynthesis chemical reaction:
[tex]\[
6 CO_2 + 6 H_2O \rightarrow C_6H_{12}O_6 + 6 O_2
\][/tex]
Here, the reactants are carbon dioxide (CO_2) and water (H_2O), and the products are glucose (C_6H_{12}O_6) and oxygen (O_2).
Let's match this with the given options:
1. [tex]\( O _2+ 6 CO_2 \)[/tex]: This representation is incorrect because it only shows one of the products and a reactant.
2. [tex]\( C_6H_{12}O_6 + 6 H_2O \)[/tex]: This representation is also incorrect because it involves glucose and water, but the correct pair of products in photosynthesis are glucose and oxygen.
3. [tex]\( 6 CO_2 + 6 H_2O \)[/tex]: This represents the reactants, not the products.
4. [tex]\( C_6H_{12}O_6 + 6 O_2 \)[/tex]: This accurately represents the products of the photosynthesis reaction.
Therefore, the correct answer representing the products in the chemical equation for photosynthesis is:
[tex]\[
\boxed{4}
\][/tex]