4*4^-n*2^[2n-2]

Answer 1

To simplify this expression, we can break it down into parts:

4*4^-n = 4*(1/4)^n = 4*(1/4^n) = 4/4^n = 4^n/4^n = 1

Thus, the expression becomes:

1*2^(2n-2) = 2^(2n-2)

Therefore, the final simplified expression is 2^(2n-2).