Explanation for Question 16 From the Math (No Calc) Section on the Official Sat Practice Test 6
Question 16 asks us if eight of the power of B over four equals 2 16 for positive integers, a and B what does one possible value of 3 B? So the canvas problem is that we only need to find one 4 possible value because of that. 5 Some sort of guessing check is usually a pretty valid way to solve these 6 problems. And don't let this intimidate you because you just need to find one. 7 Um, and you're not given very many restrictions either. 8 So let's think about writing out is a to the power of B over 9 four equals 16, which is basically a to the power of something 10 equals 16. Now, 11 when I'm looking at this, something that I immediately think in my head is 12 that four squared is equal to 16. 13 So it doesn't give us any restrictions on a, 14 so let's just assume that a is equal to four for the sake of 15 this exercise. And we can say that four to the power of two is 16 equal to 16. And that for the power of B over four is 17 also equal to 16. So to make this true, 18 we have to have be over four to be equal to two, 19 somebody got B is equal to eight, and that is one potential answer. 20 Now note that we made the assumption of a here, but that's fine because 21 it doesn't tell us what needs to be. It just says that it's a 22 positive integer. So if you were doing this on your own, 23 you could just pick B is equal to eight and move on. 24 But I also want to note that there are multiple different ways to do 25 this problem. I'm in the same kind of method, 26 but maybe when yo...