(5 to the 6th ) - (5 to the 5th ) over 4 =? MANY will get WRONG! (No Calculator) 

How to string out a 30 second problem for 15 minutes.

I do wish you can be a little less long winded.

Sir, I am 60 years old and love math but have forgotten the basic operations to solving problems, haven't really had to do these in over 40 years, I appreciate your videos, lessons to get me back to what I once could do! Thanks

Fast forward 12 minutes to avoid endless waffle.

Way to long winded .... just get on with it.

15 MINUTES i'LL NEVER GET BACK.

Tip..... If you want to help anyone in maths.....1. Get to the Point , 2. Get to the Point , 3. Get to the Point!!! Stretching a 1 minute session for 15 mins or more would take people many years to get past junior grade at that rate !!!!! Most people including myself would much prefer a direct simple approach rather than take a walk around the garden to see what's there!!! You're not helping anyone stringing them along like you are!!!

Dude, you RAMBLE ON! Get the hell to it already!

This dude would take 100 years to teach you Grade 3 math...

(5^6 - 5^5) / 4 It is very tempting to just say 5/4 but 'to the power of' doesn't work like that. So .. let's express 5^6 as 5^5 x 5 so that they are both 5^5 ((5^5 x 5) - 5^5) / 4 which is also (5^5 x 5) - (5^5 x 1)) / 4 which can be changed to 5^5 x (5 - 1) / 4 5^5 x 4 / 4 and 4 / 4 = 1 giving us 5^5 as the answer.

The same but a little bit more logical way: 5^6 = 5*(5^5) 5*(5^5) - 1*(5^5) / 4 = 4*(5^5) / 4 = 5^5 It's like 5 apples - 1 apple level math problem. :)

So my problem is that all of your tangents made me lose my train of thought. It was worse at the end, did not make sense.

As an engineer, I work with several people who didn't pay attention in math classes, but were somehow promoted to the next grade anyway. They think I'm some sort of math god because I can solve problems like this in less than a minute.

Fun to work - bring back old memories of strugging in math classes many years ago. Thanks for the problems.

Love your videos! You explain things so well. And your voice is very calming. 👍

Here's what I did: 5^2 = 25, 25 × 25 = 625 (4th power), 625 x 25 = 15,625 (6th power). 15,625 - 3,125 (ans/5) = 12,500 Now that we know the top answer is 12,500, divide it by 4, you get 3,125 which, surprise, is the 5^5 answer we had earlier.

You actually have to learn the rules. You cannot do math without really knowing the rules.

Way too longwinded. I just looked at the answers given by the commenters.

The objective is not getting the correct answer. Rather, it's about learning the concepts which may be applied to more difficult questions. Some students are only interested in having the answer without any knowledge or understanding to resolve the problem.

You lost me there when you started factoring............ugh!

If you do not really appreciate this teacher’s work, why do you waste your time here, criticizing and badmouthing? Please know that there are people who appreciate Mr John’s teaching and let them benefit from his work.

If you want to find the difference between x^n and x^(n-1), it's always x^(n-1)*(x-1). In this case, 5^6-5^5=(5^5)*4. The answer is 5^5

Such muttering, cannot hear, even with volume on high...

Shhhhhhh we are trying to learn math😢

I used a calculator cause my brain doesn’t brain real well sometimes and I got 3125, which turned out to be A correct answer, but not the answer your looking for. It’s the same as Hello is to G’Day is to Hi, different words, same intent.

I didn't bother to look at the answers or listen to the video; here's how I solved in less than five seconds. When looking at an all integers problem with division, first try to figure out if the answer can be an integer because if it works, things get so much easier. In this case, 5⁶ = 5*5⁵. So (5⁶ - 5⁵)/4 = (5*5⁵ - 5⁵)/4 = ((5-1) 5⁵)/4 = (4 * 5⁵)/4 = 5⁵. Of course, it might have been a false end, but these are usually easy to check.

It takes about 5 seconds in your head. How does he make this into a quarter hour video? I watched the first three minutes and jumped.

I am not subscibing because you take WAY too long . Too much nonsensical talking. Takes all day to het the info I want. .

Tricked me. I fell for the 5/4.

Another *excellent* point being made at 10:16 is "you have to consider who you're learning math from"! Kudos, @tabletclass 👍👍👍 I think that many/most of us are aware of the difference between being taught-by-rote versus being challenged to THINK. With the-LATTER as teacher, one can often IDENTIFY one's weak spots WHILE RESOLVING them. Well... if one takes the time to do so... 🙂

5 to the power of 5 is the correct answer.

I got it, and it took just a couple of minutes. But I'll have to watch and figure out why.

Audio was to low to hear anything.

Dear American Cousins, It’s not ‘math’, it’s ‘maths’ - short for mathematics, a word which ends with an ‘s’!

Love these videos, but you really need to raise the volume somehow!

Bear in mind, this video is intended for people to whom mathematics does not come naturally.

why is your volume so low?

I'm super lazy, so I solved 5 squared minus 5 to the first divided by 4, which is 5 to the first.

3,125 was the answer I came up with while doing this calculation in my head. I was correct. Although, this answer of 3,125 is not an option in the video. The video shows the answer is 5^5. This is correct. However, 5^5=3,125. So, the ultimate answer should be 3,125.

Take 5 to the power 5 as common then you will have (5-1) over 4 which is 4÷4= 1. Hence the answer is (e) which is 5 to the power of5

(5^6-5^5)/4= 5^5(5-1)/4=5^5

5×5×5×5×5×5 - 5×5×5×5×5/4 = [(5×5×5)(5×5×5)] - [(5×5×5)(5×5)/4 = [(125)(125)]- [(125)(25)]/4 = 15,625 - 3,125= /4= 12,500/4 =3,125 = 5 to the Fifth Sorry this Tablet does not show powers

Answer is E: 5^5, easiest to refactor the 5^6 into 5(5^5), then subtract the numerator which then yields 4(5^5)/4 which makes the answer 5^5.

Should be shorther video and cut to the chase ….

Ok so I am 50 yrs old and math has never been my subject. But let me say in this one video I learned more than I have known all these years. Somehow you made it so easy for me to understand. Thanks.

I havent watched yet... i say E

I reckon the answer is f) = 3,125. Derived from: 15,625 minus 3,125 equals 12,500 divided by 4 equals 3,125. Simple!

Learn so much from your videos Thanks for doing this . What would you say is the ratio of grateful people to ungrateful ? Just a rough estimate I really want to know. ❤

e) 5⁵ Factoring out 5⁵ yields 5⁵(5 - 1)/4 = 5⁵ × 4/4 = 5⁵ × 1 = 5⁵

It’s not what you do,it’s how you do it. There are Rules to follow.

great explaination. factor and solve. thanks for the fun.

i mean i appreciate what you do, however why take 20 minutes to talk about this.. it becomes annoying and so do you..

My goodness I must have been well taught all those years ago, it just comes flooding back….great mind stimulation.

John the JACKASS. Special ability can turn a tiny mole hill into mount Everest

Too much talk. I started to sleep.

So easy, did it by inspection in my head.

I got it by making a chart of 5 to the 1st through 5 to the 6th. Then i just did the simple arithmetic. I couldn't remember how to work with exponents, but that worked and didn't take too long.

This guy is a lousy teacher. He talks way too much about nothing rather than getting to the point and teaching us what to do. I guess he likes to hear himself pontificate.

Thank you for explaining several ways to do each problem and taking your time instead of rushing through.This is excellent for young children just learning and also for senior citizens that are brushing up on things that they haven’t done in years!Teaching math so that the student really “gets it” takes a special skill!Thank you!

IT"S TAKING TOO LONG........FIRST 7 MINUTES......FORGET THE SMILES ....

GOOD & thank you!😁😁 At 1:22 a definition of "multiple choice" is stated: "1 of these is the correct answer". This means *exactly 1* correct answer, ie no less than 1 correct answer & no more than 1 correct answer. One can validly *DEDUCE* from it that "all answers except 1 are NOT correct".

Did this in my head in less than 30 seconds using the long way, got 3125 so picked E … Would have used your method if it wasn’t a simple number like 5’s … 5’s are too easy to do in your head! … In my head I multiplied by 10 then divided by 2 …. 5*5 =25 250/2 = 125, 1250/2=625, 6250/2=3125, 31250/2=15625 …. Took the 3125away from the 15625 easily in my head to get 12500 then just halved it twice 6250 then 3125 which was the 5th of my 5’s so got 5to 5th in under a minute with no writing down … does this make me weird? Doubling and halving is too easy … even the subtraction was easy … so I chose the easiest option.

Absolutely guess at answers if you don"t kno and if wrong answers aren't penalized. Then there's the quick screen to throw out obviously wrong answers to improve probabilities.. AND Always attack problems you KNOW how to do and then go back after those you aren't sure. Never waste time on something that confuses you until.AFTER you've answered easy-to-you questions.

Actual explanation begins @11:33, let me save you a winded seek

Take out a multiplier of 5^5 from the top and it falls into place easily.

Thank God this problem seemed easy to me. That means my brain still works.

If you factor out 5^5 you get (5-1) in the parentheses which is 4. This cancels the denominator leaving 5^5.

Nice, but stick to the problem. Too much talking.

This guy talks way too much and I can't stand all of his BS

15 minutes is too long for me. Too much irrelevant info.

Starts at 6min50

Thank You! I appreciate that your teaching method is geared towards students learning this for the first time.

I wish I had a Algebra teacher in JH like you, I failed. Come in college I had great teachers and did great but the things we worked on a Calculator wouldn't help you any(this was the 80's) unless you knew how to work the problem. Most of the "what is the correct answer" you see on RU-vid are not formatted correctly so they create a argument, Mathgirl did a great video years ago covering this..

Easy one. Factor our 5 to the 5th in the top, apply parenthesis, cancel the 4s.

E ) 5^5

Please do this for me 🙏 Kate likes to walk down moving escalators and she takes one step at a time. When she walks down at a rate of 2 steps per second, she reaches the bottom from the top after 18 steps. When she is exhausted, she will walk down at a rate of 1 step per second and she will reach the bottom from the top after 12 steps. Find the time- taken for her to reach the bottom from the top if she just stands on the escalator.

..{ (5-1) (5 ^ 5) } / 4 = { -four- ( 5 ^ 5) } / -four-

The 'formula' 5^5 (5 - 1)/4 does the trick. Nice job, John.

That's not even the correct American way of doing this!! It's a multiple choice question and THUSLY has to be solved by "process of elimination" and "educated guessing." Note that the solutions are given in ascending order, so you can work left-to-right. Now you sneak up on the problem and start with 5^2 - 5 to get 20 and divide by 4 to get 5... eliminate a) and b) because your answer is already more... now try 5^3 - 5^2 to get 125 - 25... it's okay to use your fingers to count. Okay, 100 divided by 4 is 25, so this would be answer c) which you can now also eliminate. Good job. So which of the two remaining answers should we pick? They're both crazy large numbers that are impossible to calculate. See if you can find a pattern though... when the solution was 5, there was also a 5 on the right above the bar-thingy and when the answers was 25 there was a 25 on the top right... in the original question there's a 5^5 in the top right of the equation, so you make e) your answer... have a cookie, watch *Good Will Hunting* and practice saying "How you like them apples?" for when your teacher hands back the exam and you got the right answer the multiple choice way, the way you're supposed to... rest of the world, the numerator is screaming (5 - 1) so factor out 5^5 and move on to the next question. (I really just clicked on the video to see how you could possibly talk about something that looks like 2+2=? for 15 minutes.)

The answer is incomplete. My algebra teacher would have only accepted 3125.

I will take a guess 5 over 4 b

The typical annoying person who talks and talks forever without actually saying nothing. This is just a terrible commercial for a math "teacher"...

Wow, you have made something incredibly boring into something even worse. Are you purposely trying to scare people off? Try to clean up your technique to solve your answer.

Worst math teacher ever.

The answer is 1.25

Did anybody else get low volume, or was just me?

Please talk into the microphone, can hear you very well. Thank you

Made a huge logic mistake - I thought if you subtract x exponent 5 from exponent x exponent 6 it leaves us with x exponent 1 - or x .. yeah .. not my finest hour. I got it better when I first did the exponents PEMADS - no parentheses her straight on to exponents: 5 exponent 6 =15625 minus 5 exponent 5 =3125 and then you move on with the lower part of the fraction divided by four .. 12500 divided by four is 3125 - which is: tata 5 exponent 5 ... Why you do the upper part of the fraction first including the subtraction is something TabletClassMath can explain as he knows all the rules, I just know you do - the first sum above is treated kind of as if it was parenthised. You could also write 5 exponent 6 divided by four minus 5 exponent 5 divided by four (two fractions) and would get the same result.

should be "trivial" for anyone who has taken ANY math at the post-secondary level. why? because you need to understand algebra, and you need to be comfortable working with numbers.

Well crap; using a calculator it was easy; 3125; or 5 to the fifth. But, with no calculator, I got to admit- I got it wrong.

How can you take 15 mins explaining this. As others have said it's basic alegebra: (5a - a)/4 = a, where a= 5^ 5

This video is more about test-taking psychology than solving a problem that takes seconds (if you have actually learned how to solve these types of problems).

E

Factor 5^5 for the left part to get 5^5 ( 5 - 1 ) / 4 or 5^5 * 4 / 4 or 5 ^ 5. It took me 5 seconds to find the answer. You will not get many people interested if you loose that much time on such simple problems.

Answered is 1/4

This should be easy for everyone who didnt get homeschooled, (5^6-5^5)/4 equals 5^5×(5-1)/4 equals 5^5×(4)/4 equals 5^5×1 equals 5^5 with ^ meaning taking the following number as the exponent. I dare say everyone should be capable of doing this mentally without taking notes.

I’d multiply the nominator out to 5^5 *(5-1). Well, that’s 5^5 * 4. Divide by the denominator 4 and you get 5^5, which is one of the given answers, yeah 😃. However, I think this vid is aimed at high school around 8-9th grade, learning power laws, etc., explaining why multiplying out powers just does not work most times. Bottom line in math, as always, know and practice the ‘basic’ rules. However, professors can also go awry. Number theory prof asked as homework, find all the primes between 10^100 and 10^101. Written homework… the class teamed up and printed out the first prime in this interval… being older now, I feel bad we even did this because it used probably a whole tree worth of paper. To our defense, thumb drives did not exist at that time. Later prof acknowledged that the assignment was not thought through well. To his credit, nobody failed his otherwise highly abstract class exam at the end 😎

I am glad you explain the problem in detail. Math is my weak spot. I can do it but been 20+ years since I took a College math class. ( I returned to college in my 50s) so had to start all over practically. NIW I enjoy these to keep my brain working.

This took me all of 4 seconds to solve in my head. Thanks for the 15 min video

e!