Question

How to do 7z2 5z4 d3 d8

Answer 1

`35{z}^(6) \cdot \: {d}^(11)`

Explanation:

Let us assume , we want to find the product of

`7 {z}^(2) \cdot \: 5 {z}^(4) \cdot \: {d}^(3) \cdot \: {d}^(8)`

We rewrite as:

`7 * 5{z}^(2) \cdot \: {z}^(4) \cdot \: {d}^(3) \cdot \: {d}^(8)`

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.

`35{z}^(2 + 4) \cdot \: {d}^(3 + 8)`

We simplify the exponents to get;

`35{z}^(6) \cdot \: {d}^(11)`