Answer:
4^t
Step-by-step explanation:
Given expression is [tex](\frac{1}{2})^{-2t}[/tex]
To simplify this we apply exponential property
If we have negative exponent at the top then we flip the fraction
that is we take reciprocal of the base 1/2
so 1/2 becomes 2/1 = 2
The expression becomes [tex]2^{2t}[/tex]
Now we simplify it further
2^2= 2*2= 4
[tex]2^{2t}=4^t[/tex]
