Explanation for Question 15 From the Math (No Calc) Section on the 2020 October Sat
So thinking about question 15. What we're trying to do here is simplify this 2 expression that they've given us using some exponent rules and some radical 3 rules. And so one important thing that you want to notice, 4 all this question is this little conversion right here, 5 whatever you have out in front of the radical, 6 you can rewrite it as being in the bottom of a denial or the 7 denominator of a fraction that is in the exponent. 8 So this is X rays to the one over end. 9 And I can say that because N is out here in front. 10 And so since I have three with the N out in front of the 11 radical right here, I can rewrite that is three to the one over 12 M. So now I'm one step closer to being able to put these fractions 13 together or these exfoliants together. 14 And so the first thing that we're going to want to do is think 15 about this guy. We can separate out the two over N is being 16 two to two times one over in, 17 right? Because two times one over N is equal 18 to two over N and that's what I have in the, 19 in the, uh, in the exponent. 20 And then from here, if we work backwards, we can think about the rule 21 where if you have something in parentheses, 22 right? Like if you're multiplying, um, 23 exponents together, it's the same thing as a, 24 to the X, to the eight times X to the B. 25 So what we're going to want to do here is see that this is 26 actually two squared race to the one over N right. 27 Cause I can, I can kind of pull out that too. 28 So I have four ...