Question

What is equivalent to (1/2)^-2t

Answer 1

`( (1)/(2) )^(-2t)=2^(2t)=4^t`

Answer 2

4^t

Explanation:

Given expression is
`((1)/(2))^(-2t)`

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
`2^(2t)`

Now we simplify it further

2^2= 2*2= 4

`2^(2t)=4^t`