 In this video, we provide the solution to question number 3 for practice exam 3 for math 1050. We have to solve the power equation x to the two-thirds power equals 25. Now when you have these power equations, the goal here is to get rid of the power attached to x. And we do that by taking the reciprocal power because notice by laws of exponents, you'll multiply the exponents together two-thirds times three-halves. They'll cancel out and you'll just get an x. So on the right-hand side, we then get take 25 to the three-halves power. But notice here that if you're taking a one-half power, that's the same thing as taking a square root. So this is the square root of 25 cubed. When you solve an equation using square roots, it's necessary to consider both the positive and negative case. So there's actually going to be two solutions to this equation. The square root of 25 is 5 and then 5 cubed is 125. So we see there are two solutions. There is positive 125 and there's negative 125. So therefore we select the correct response as g.