If $a÷b$ means 'a to be added to b' and $a\times b$ means 'a to be divided by b', then the value of $(14÷7)÷(14\times 7)$ is:

Let's convert the operational symbols according to the defined rule changes:
* $÷\to$ addition ($+$)
* $\times \to$ division ($\text{slash}$)

First, solve the operations inside the brackets separately:

1. For the first bracket:

$$(14÷7)\to 14+7=21$$

2. For the second bracket:

$$(14\times 7)\to \frac{14}{7}=2$$

Now, substitute these values back into the central operation:

$$\text{(First Bracket Result)}÷\text{(Second Bracket Result)}\to 21÷2$$

Applying the operation rule for $÷$ (addition):

$$21+2=23$$