Given :-
- A Equation , [tex]\sf y = 3(1/2)^x [/tex]
To find :-
- The value of y at x = -2.
Solution :-
The given equation is ,
[tex]\red{\longrightarrow}\sf y = 3(1/2)^x [/tex]
Now on substituting x = -2 , we have,
[tex]\red{\longrightarrow} y = 3(1/2)^{-2}[/tex]
Using the property of exponents as ,
[tex]\red{\longrightarrow} \sf a^{-m}= 1/a^m[/tex]
We have ,
[tex]\red{\longrightarrow}\sf y = 3(2)^2 [/tex]
[tex]\red{\longrightarrow}\sf y = 3(4)[/tex]
[tex]\red{\longrightarrow}\bf y = 12 [/tex]
Hence the required answer is 12.
