Answer:
[tex]35{z}^{6} \cdot \: {d}^{11} [/tex]
Step-by-step explanation:
Let us assume , we want to find the product of
[tex]7 {z}^{2} \cdot \: 5 {z}^{4} \cdot \: {d}^{3} \cdot \: {d}^{8} [/tex]
We rewrite as:
[tex]7 \times 5{z}^{2} \cdot \: {z}^{4} \cdot \: {d}^{3} \cdot \: {d}^{8} [/tex]
We multiply coefficients and apply the product rule of exponents.
According to the product rule, when the base is the same for a product, we write one base and add the exponents.
[tex]35{z}^{2 + 4} \cdot \: {d}^{3 + 8} [/tex]
We simplify the exponents to get;
[tex]35{z}^{6} \cdot \: {d}^{11} [/tex]
