Question

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

Answer 1

Answer:

4^t

Step-by-step explanation:

Given expression is $(\frac{1}{2})^{-2t}$

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

$2^{2t}=4^t$

Answer 2

$( \frac{1}{2} )^{-2t}=2^{2t}=4^t$