Imagine that a new operational symbol for mathematics has been developed. This symbol is ~ and is represented by:

a~b=ab/a-b
Using this new symbol, find the value of :(2~3)~4.

Just plug in.
2~3 becomes 2*3/(2-3) = -1, and
-1~4 becomes -1*4/(-1-5) = -4/-6 = 2/3

To find the value of (2~3)~4 using the new symbol ~, you need to substitute the given values into the expression and evaluate it step by step.

First, let's substitute 2 and 3 into (2~3):

2~3 = 2*3/(2-3)

Now, let's evaluate the expression within parentheses:

2~3 = 6/(2-3)

Since 2-3 is equal to -1:

2~3 = 6/(-1)

Simplifying further, we have:

2~3 = -6

Now, let's substitute -6 and 4 into (-6~4):

-6~4 = -6*4/(-6-4)

Now, let's evaluate the expression within parentheses:

-6~4 = -24/(-6-4)

Since -6-4 is equal to -10:

-6~4 = -24/(-10)

Simplifying further, we have:

-6~4 = 24/10 = 12/5

Therefore, the value of (2~3)~4 is 12/5.