Although I'm now in calculus, our professor wants to make sure that students do not forget the important topics of pre-calculus. To reach this goal, in addition to our calculus 1 homework, the professor adds one or two problems from pre-calculus as extra homework. Below is a problem that I worked on for about 15 minutes. Each time, I got the answer of 1000 but the correct answer is 500.
If 10^(k) = 1/2, find 10^(k + 3)
How do I get 500 here?