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.