@@Space_Captain actually, if you plug in any values that solve the equation it works out. for example if x = 3 and y = -4, then 32^3 times 8^-4 will also equal 8 (use a calculator if you don't trust it.)
The answer is 8. There is another way to solve this using a graphical method. 5x + 3y = 3 is the equation of a straight line graph 📈 in the x-y plane. Rewrite this equation in Slope-Intercept form of the equation of a straight line as: y = -5x/3 + 1 Set up a table of values using x, y, (0, 1), (3, - 4), etc. Substitute any pair of values (such as 3, - 4 or, 0, 1) into 32^x ● 8^y. Using x, y = (0, 1). 32^0 ● 8^1 32^0 = 1 8^1 = 8 1 × 8 = 8.
ive spent countlesss hours in tears not understanding math, i still hate it to this day its always somethign like "so this says 3, so its really 5", and ii just fall apart
This is how i made it: the form of the question suggests that any valid x and y pairs give the same result. So pick an easy pair and just calculate. Easiest is when x=0 and y=1. Result is 8. 😉
What confused me is it doesn’t say the first equation and the other expression were equal. It just says “here’s this equation” and expects you to find out a different random expression that isn’t equal to anything. Not a variable, not another expression, not 0. It’s just there
But that way only makes sense if you get lucky and your little exponent equation matches the equation they gave you. Which is kind of a waste of time if it doesn't.
If these kind questions are considered as the "hardest", then SAT should improve their standards, any serious aisparant in India can solve this within a fraction of seconds including me. it's just too ez../
@@lunesvetsome students who might take the sat for the first time might not have learned the math necessary to solve problems like this and might solve it to whats available to them
More than half of kids fail math here in America but they pass them on anyway. It's like the 90's when kids graduated without being able to read, but with math.
Exactly how I solved it as well. I saw that the multiple choice answers are small, so I knew I must be dealing with small exponents, and the only way 32 to the power of anything would be small enough is if x=0
@@kadoink6762 it may not be the hardest but it's definitely on the harder side for the SAT. it's clear that no one here has taken the SAT or even a practice test. the SAT math isn't hard with a little bit of practice, it's just a bit more difficult with stress and time constraints on test day.
I mentally solved it within 15 seconds . I must be a super human . Reality : you know powers of 2 and basic rules of exponents. This is far from the hardest it's easy .
Can yall please explain this to someone like me who’s trying to understand this, so I understand the x=0 and y=1, I remember that from highschool but when he says to rewrite 32x as 2 to the power of 5x and 8y to 2 to the power of 3y, are there rules or something I’m missing that gives you this number ? I’d really appreciate your help!!!
Actually when you watch other solving such problems, it looks easy but when you actually gave such problems in exam, you will have hard time to solve. I am not talking only about this particular problem but there are many such tricky problems.
@@umeshchittirai sure bro they are tricky and i can understand your statement too but still they are very easy if we compare it to Indian high school level
Just having good sat scores doesn't mean you'll get selected. Indian entrance exams don't even ask for extracurricular activities, Internship (yes in High school), camps, sports, extra talents and awards like medals in music, literature etc. in various levels ranging from highschool to your state to national levels. Now you understand why it's easier?
SAT math is about being really familiar with all the concepts to the point where you can easily apply things you know and solve problems in creative ways. Most of math isn't like this. That's why it is so helpful to do practice problems because you get used to the type of questions they ask and stuff you need to know. It's more like a puzzle or a brainteaser than a math problem.
@@stellarintellectAll math is actual math. If you took a single semester of calculus you'd know the easiest part is the actual calculus, the hardest is elementary algebra 😅
Thank you for this explanation!! I didn't know a number to the zero power = 1. I was thinking incorrectly that the equation is: (32 x 0) x (8 x 1). Or, 0 x 8 = 0.
Just don’t go to the comments and look at all of those weirdos saying “this is ez,” or “this was hard?” They want attention broo. That will discourage u. just know dat ppl are on different levels
Lol SAT isn't actually this easy. This man is using this trick to lure people in commenting on his video just like you did to increase his video reach. Pretty smart move and easy money. Just think, who would watch him solving these questions, if he didn't add that these questions were on SAT. Wait, I too fell for his trick lmfao
SAT is just like any other standardised test before higher level education: it is many problems that arent that hard but you only have 1 about one minute to figure them out. If you are really good at maths you can do the problems at the right pace and get a full score.
There is only 1 condition: that 5x+3y=3. So this should work with ant pair of numbers that fullfill that condition: x=0 and y=1. Making it 32^0x8^1=8. Easier that playing with numbers
I never was taught this. The only thing they taught us were 1 step and two step equations (integer and rational) statistics, ratios, distance, and that stuff@Exile77
Romans 5:8 - But God demonstrates his own love for us in this: While we were still sinners, Christ died for us. Amen! Never forget that God loves you, so let your love, trust, faith and confidence in Him increase. Amen!
I did this by plugging in small numbers in the first equation. If you set x=0 and y=1 it's trivially easy to see that the first equation holds true and then by using these numbers in the second equation, since anything to the power of 0 is 1 and anything to the power of 1 is itself, it's just saying 1x8 which is 8.
@@seonggihun5069 Still works although you just picked harder numbers than you needed to. 32^3 is 32768 and 8^-4 can be rewritten as 1/(8^4) which is 1/4096. Multiply both numbers and you get 32768/4096 which is still 8.
he is just luring you all to comment shit about american education system when we all know that its not true. I have personally given SAT as an Asian internation student and oh boy lemme tell u the ques he makes vids abt is not actually the hardest one, there are pretty tougher questions out there. And what makes SAT challenging more than the question is the time limit and the pressure on student. so stop commenting nonsense when u dont know the actual reality
you need to solve for the general case. In your case, there's an infinite number of possibilities that x and y could be, as, since its not specified, you consider them real numbers. thats why this method probably wont be counted as right
Uh no it’s 32^0 times 8^1 which is 8 lol u didn’t even plug in correctly but u messed up twice and still got the right answer lmao. And yeah this will work on multiple choice but if you want to prove it plugging in doesn’t prove anything cuz u only know it works for all of em cuz they told u
@@bobjoe8182 first of all, I just said that I'm a 7th grade student, Second of all, I still got the right answer by doing it a different way. Dont go talking bad about someone just because they're different from you.
@@cwaxytea but he's right though, if it was multiple choice and you didn't need to prove it then yeah, it works, but if you have to prove it you wouldn't get full marks
@@circiucatalin7273 Keyword: If. The question didn't demand proof, so the commenter's method was right either way with/without proof while disregarding their symbol usage. It's also SAT which means that you must find the most efficient way to solve a problem because it's timed even if it's trial and error.
After seeing a few of these, knowing what they are about, not even close to being hard especially if you don't need to show work, one can even guess. So thanks! These videos really help. 🙏👍
Since 5x+3y = 3 is a linear function put for x=0 F(3)=1, 32^x . 8^y then put the values of x and F(x) i.e. y you will get the answer...simple solved faster approach then shown in this short... 😀
@JSark-by2ts it's using exponents, not multiplication. So it's. 32^0 × 8^1. Any number to the power of 0 is 1 and since 8 is to the power of 1, it doesn't change so it's 1×8 and that is 8.
It’s B because: 5 x 0 = 0 3 x 1 = 3 0 + 3 = 3 And now we place the numbers that we replaced with the letters in the indices 32^0 = 1 8^1 = 8 So 8 x 1 = 8 The answer is B This is just another explanation for those out there
