I follow this channel because it helps me remember the pre-calculus class I took a few years ago in my mid-seventies. Any number to the power of 0 is 1. Any number to the power of 1 is that number. So 1 times 8 equals 8.

anything to power 0 = 1, to the power 1 is itself... d) 8

@lindaross783

5 ай бұрын

Did you sit in the first row with your hand up? Put spoiler alert for some of us.

@michaelk3582

5 ай бұрын

How is anything time zero equal to 1? I'm never going to believe that just because people can write math in a way that fits their needs. Zero of something is always going to be zero no matter what in reality.

@steelbeard151

5 ай бұрын

Not anything. Zero to power zero is not 1, but undefined.

@michaelk3582

5 ай бұрын

@@steelbeard151 so they try to tell us. In the real world zero times anything is always going to be zero. Mathematicians just like the word things funny in unrealistic ways to feel smart.

@thenetsurferboy

5 ай бұрын

NO 3 to power 0 is 3 multiplied by itself zero times = 3 It is not 3 x 0 = 0@@michaelk3582

Its all simple when you know the rules... doesn't make anyone a math genius,lol You sir, are a great teacher, and please dont stop the commentary! Its one reason why i watch these videos

1•8=8

I just subscribed to your channel. I'm a volunteer Math tutor to 3 elementary kids. I did pretty well in high school and college algebra back in the 80s, so I'm a bit out of shape when it comes to remembering PEMDS and a multitude of other skills to solve problems. I'm founding your videos enormously helpful as I have to not just get reacquainted with my algebra skills, but also help me "teach" young students correctly how to start to learn these at an elementary level. I want to make sure I'm teaching "good math skills." Thank you for being a very good Math teacher via KZread. It's very helpful to me.

Ok just since yesterday followed this channel, and this one was a level down on complexity to the two previous.. or you could say one power down 🙃 (had the answer in an instant in my head before the choices, where the previus required me some brain gymnasics). Already love this channel. Healthy to recatch +30 year old highschool stuff. And reminds me of an old beloved lecturer from my engineering study years. He was in his early 70ies in mid 1990s (sadfully my uni had rules stating employment could not continue when the person turned 72 so I got to enjoy the last of him during my master thesis semester) and every even complex calculus he did by his head, where I just enjoyed programming equations (e.g. for CFD base modelling of complex flows). Now in my early 50ies and I have already realized that it is never too late. It should be a requirement for all engineering students, high school students and ground school and not just stuff for mathematicians - to practice the simple math rules. If nothing else just to keep your brain healthy and fresh. Thanks for a stimulating channel ❤ Greets from Denmark

My regards from the Island of Puerto Rico. Teachers like you revive hope that it is never too late.

Thanks for the explanation. I never learned this. Nice to know.

I'm surprised there are only 560K subs. 🙀 You should have more than 1 mill! I love the explanations!

I am a new subscriber and am enjoying these refresher videos. I always thought it would help me to see a real world example. For instance, why would you use 0 as an exponent?

I did do calculus in college, many years ago, and I keep getting the right answers, I don't know why? I guess i learned by rote. Thank you, now I understand.

Happy face! Your a great teacher!

"You have to master the fundamentals, because if you don't you're going to have a lot of gaps in your knowledge and have a tough time". Very correct, it happened to me in college. One day I went to the Calculus III teacher's office for some questions, and she told me, "boy, you don't know algebra! How did you get this far?". Well, I had a great time in high school and I didn't have time to study.

It would have been good if you showed 3^0 as 3^1/3^1.....thats 3^1X3^-1 ie 3^0

You missed the explanation of why anything to the power zero is 1. x to the n divided by x to the n equals 1 (dividing something by itself always gives you 1) but x to the n divided by x to the n also equals x to the (n-n) which gives you x to the power zero (like x to the fifth over x squared gives you x cubed - you subtract the power of the denominator from the power of the numerator)

A) until u realize that ^0= 1 & not Zero, so d) is the next logical choice

Another one of those... 'let's see how your knowledge of math nuances rate!' things like 8÷0 = undefined (infinity!!) 8+4÷2 = 10 not 6 3^0 = 1 3^0.5=

When and Why use a zero as an exponent?

@topkatz58

5 ай бұрын

To test your ability to learn. Plus in engineering this kind of situation can occur as well as complex numbers.

grade 8 ahh math (This is a really good channel I'm subscribing, you're really awesome!)

At the title card, this one is dead simple. The answer is d) 8. Any number to the power of 0 is 1. Thus, 3 ^ 0 =1. Any number to the power of 1 is that nu,mber. Thus, 8 ^ 1 = 8. Therefore, 1 * 8 = 8.

@michaelk3582

5 ай бұрын

By that reasoning anything to the power of zero should then be zero since zero times anything is 0.

@Ayelmar

4 ай бұрын

@@michaelk3582 By convention, 0^0 is also considered to be 1. Try jt on your calculator....

Got it 😊

My question is where in the real world is this useful. I like the problems and I usually can connect the usefulness, but this one I don't understand.

@harrymatabal8448

5 ай бұрын

Mr timboy I totally agree with uouy

@topkatz58

5 ай бұрын

It can occur in engineering. For example a short circuit in a circuit design for giving status on a control panel.

Another brilliant problem!

@harrymatabal8448

5 ай бұрын

What's so brilliant about this problem

@SM-ev3pv

5 ай бұрын

Do you understand sarcasm? @@harrymatabal8448

Is there a real-life application for this problem? Please provide an example of where in one's life this problem would present itself other than in math class.

@beentheredonethatunfortunately

5 ай бұрын

Ok. So there I am sitting around in my office thinking about a problem. I write down the information I think is relevent to the problem on the board and stare at it for a bit. After some time I start rearranging the information. Them some time later I declare I've found a relativistic solution to the expansion of a blackhole. :)

@vanderpoolfarmsl.l.c.9983

5 ай бұрын

Yes. This happens to me many, many times daily.@@beentheredonethatunfortunately

I learned that here. In a different problem.

You know, l like your little riddles, but what are chances of using them in real life situations? Where would one use this stuff for real?

@terry_willis

5 ай бұрын

You could say the same thing about many subjects. Why study history? - it has already happened. Or philosophy? All you will do with it is have endless debates with other philosophers. Or literature? Other than discussing it, it has no real purpose.

@brandwessels8582

5 ай бұрын

I hear the same logic about Trigonometry. Some careers actually use it extensively. Some technology is based on it - like GPS, aircraft inertial navigation systems, architecture, etc. At school level (the level of this KZread content) we expose students to little of everything - algebra, geometry, trigonometry, geography, language, poetry, economics, accounting, law, engineering, history, creative arts, natural sciences, computer science, etc. Most of which you might not use again, depending on the choice of career. That is education for you. It's up to teachers to explain the real world application - unfortunately this is often neglected. For example, this "stuff" is used to calculate your personal risk profile depending on your age and gender - of major importance to the insurance and financial sectors. It is used to calculate the performance profile for aircraft, taking into account engine power, lift coefficient, density altitude, runway length and elevation - all in a serious attempt to establish and predict a safe scenario while taking off in an aircraft. Not everybody has a "use" for it, buy we are all exposed to it everyday and therefor we all use it all day long - often unknowingly so. In our cars, computers, cellular phones, planning our retirement, calculating loan repayments, designing roads and bridges, etc.

@perro0076

5 ай бұрын

@@terry_willis You're right, but history is different because there're laaaarge moral contents in there. VS numbers that don't have a moral content .... like money, there's nothing moral about it. Yes, you can do something good with it, but by itself, it has nothing.

D. 8

If people get this question wrong then they never learned how to handle exponents or powers.

ok

Yes! Overall, I am 2 for 6!

d.8

Thank you it was perfectly explained❤❤

3^0 = 1. 8^1 = 8. 1*8=8. So, (D).

d(8)

What about negative numbers to the zero power? Do they all equal 1? Or do negative numbers all go to negative 1?

@gavindeane3670

Ай бұрын

They equal 1 too.

@littlebrookreader949

Ай бұрын

@@gavindeane3670 Thanks!

I can see after, watching 2 of your presentations, that I could never get algebra because I was missing major rules….❤ teen years were a major interruption….I thought math was for boys

D 8

D I think

In math the word convention means an agreed upon way of doing things. Any number to the power of 0 is 1 because the powers that be of math have made it so. The power of 1 of any number is that number because that's the convention, the rule. So many things in math and science work because an agreement or convention was established. The why of it doesn't matter so much as understanding what it means and does.

@topkatz58

5 ай бұрын

🎉Not entirely true. It can be proven that a non-zero number raised to a power of 0 is 1. Here is the proof for this particular problem. 3³ = 3 × 3 × 3 3² = 3 × 3 3¹ = 3 Notice that 3² = 3³ ÷ 3 3¹ = 3² ÷ 3 So 3⁰ = 3¹ ÷ 3 = 3 ÷ 3 = 1 Proved

@rickhale4348

5 ай бұрын

@topkatz58 Thanks. Yes, I have seen this years ago. That was poorly said on my part. Maybe the imaginary number convention is a better example. It is argued whether mathematics is a human invention or a part of reality of the universe. Since there are numerous mathematical constants and so much can be explained and represented mathematically I believe it's an innate property of the universe independent of humanity. People just come up with some clever tricks to make it work better for themselves. Imaginary numbers are real and practical by the way.

@rickhale4348

5 ай бұрын

@topkatz58 I'm 70 and have been asked by my daughter to teach my granddaughter algebra and trigonometry. I will use the proof you wrote for numbers to the power of zero as an example for her and that you were kind enough to explain. I have a degree in electronics and I am retired. I often find myself needing a refresher course in things I was once familiar with.

@jeremyhelquist

5 ай бұрын

⁠@@topkatz58THANK YOU!! I did want to know the WHY. I saw an early comment about it that just confused me even more, but your example make complete sense!! 😊

3^0=1 x 8^1=8 1x8=D

@enriqueiii9209

5 ай бұрын

Alt 167 = º and Alt 0185 = ¹ for next time

@panlomito

5 ай бұрын

3^0 is not equal to 1 x 8^1...

@enriqueiii9209

5 ай бұрын

@@panlomito Yes it is 3º x 8¹ = º = 1 1 x 8 = 8

d) 8

got it...cool... 1 x 8 = 8 thanks for the fun

I checked with my calculator to be sure that my memory served me well i.e. if I was right to think that any number to the zero power = 1. The rest was easy. ;) Come on Mr YT Maths, give me some slack. :)

8

D answer

d

I knew zero exponent had special value, so I peeked at a couple comments and went with 1. So, c) 8?????🎉yea

Did it in my head in seconds . X^o =1 x 8^1 =8 Therefore 1x8=8. Why such a simple problem?

@susanm1109

5 ай бұрын

It’s only simple if you know (or remember) the rules of exponents.

I got the , 5 to the 6th power minus 5 to the 5th power, divided by 4 wrong. I have a background in math but I'm 70 now and out of practice. I have grandchildren needing help so I suppose I'll have to get back on that horse because the schools can't teach now. I made a fourth grade teacher made by pointing out my granddaughter's math assignment couldn't be solved without an algebraic equation that I taught my granddaughter. Go figure.

d)

D

I got it! 3 to the zero power is 1; 8 to the first power is 8; so 1 X 8 = 8. Yeah I get the happy face, 100% and 4 stars. I guess any number raised to the zero power is always 1 all day long!

Yes it’s 8

8 is the answer

1 times 8 equals 8 still

I understand that the rule is that any number with an exponent of 0 is 1; however, I must say it is not at all logical. If you have 0 of any number you should have 0, logically, not 1. 2 x 0 = 0. If you have zero 2's you have nothing. Where did this magical 1 appear from? I would love to see and understand the proof for this rule, which we all accept universally.

@g.h.190

5 ай бұрын

Plot a graph of any positive number and extend the curve and you will see it always cross at 1. Negative exponents always give a result between 0 and 1.

@pclark1332

5 ай бұрын

@pclark1332 8 minutes ago (edited) 3 cubed = 27. To get 3 squared divide 3 cubed by 3. That = 9. To get 3 to the first power divide 3 squared by 3. That = 3. To get 3 to the zero power divide 3 by 3. That = 1. That works with any whole number. 9 cubed = 729. 9 squared = 729 divided by 9 = 81. 9 to the first = 81 divided by 9 = 9. 9 to the zero power = 9 divided by 9 = 1.

A

24

1 x 8 = 8

Answer is D

1 to the 0 = 1 to the 1.

So if any number to the zeroth power is 1, including zero to the zeroth power, and 1 to the first power is 1 and 1 to the zeroth power is 1.... then in mathematical terms, 1 equals 0.

@topkatz58

5 ай бұрын

No, 0 to the 0 power is undefined because any number to the 0 power is the number divided by itself. So O^0 is 0/0 which is undefined.

@billcape9405

5 ай бұрын

@@topkatz58 Sort of, depending upon which argument you're currently subscribing to and the context. Your argument has logic, but the actual definition of the "zero power' rule is that ANY real number, including zero, raised to the zero power equals 1. There are no exceptions to this rule and it is not purely a function of being divisible by 1 and itself. Something of a contradiction but then so is the real number 2 in terms of being a prime number, even though it meets the prime number criteria and is certainly not a composite number.

@billcape9405

5 ай бұрын

@@topkatz58 An interesting topic, even if it is pointless. I guess, in the end, you have to decide which definition you prefer and what point you are trying to make. If 2 is not a prime number, just because that is the rule and without regard to the rules of being prime, then we can say that zero to the zeroth power is 1, without regard to the rules of division by zero. What is the definition? Both are correct and completely contradict each other.

@WoWGorchuk

5 ай бұрын

@@billcape9405 Most math people will say "Any NON-ZERO" number to the zero power is 1. x^0 = 1 for any x, where x =/= 0

Two seconds brainpower: 1 . 8 = 8 so answer D

Why is anything to the zero power 1? That doesn't make sense to me.

@francoiskeulen

5 ай бұрын

By definition basically

@pclark1332

5 ай бұрын

3 cubed = 27. To get 3 squared divide 3 cubed by 3. That = 9. To get 3 to the first power divide 3 squared by 3. That = 3. To get 3 to the zero power divide 3 by 3. That = 1. That works with any whole number. 9 cubed = 729. 9 squared = 729 divided by 9 = 81. 9 to the first = 81 divided by 9 = 9. 9 to the zero power = 9 divided by 9 = 1.

@thenetsurferboy

5 ай бұрын

The definition is wrong so do not use it@@francoiskeulen

exponent rule.... a^0 =1 if a is not equal to 0

This was easy

Sure they are all logical choices if you dont know how to maths!

@michaelk3582

5 ай бұрын

Actually the only reason anybody thinks they know how to do this is because they hit a little button on their calculator. In reality they cannot explain how zero times anything become something other than zero. In the real world I live in zero times anything is always going to be zero it doesn't matter what kind of math you write out on paper.

0

how is this relevant to building bridges ?? .... how is this relevant to space travel to the moon ??

@gavindeane3670

Ай бұрын

Is that a serious question? Working with more complex mathematical equations than this is a routine part of life for engineers who design things like bridges and moon rockets.

(3)^0=0(8)^1=8 a)0 d)8

@panlomito

5 ай бұрын

Confused... (3)^0 = 0(8)^1 ???

@user-ri6rn7ti5h

5 ай бұрын

@@panlomito what do you mean you are confused

@panlomito

5 ай бұрын

@@user-ri6rn7ti5h I can't make anything of that equation.

I was hoping you would show that any number to the zero exponent =1. Too much talk, imo.

Way too wordy but thank you for the explanation.

I enjoy watching your program and have learned from it, however, I do wish that you would not talk like you are addressing a group of first graders

24.

1×8=8 anything × 0 =1

@pclark1332

5 ай бұрын

Actually any number x 0 = 0. Any number to the zero power = 1.

@pamspencer5377

5 ай бұрын

@@pclark1332 if x is a number

@pamspencer5377

5 ай бұрын

@@pclark1332 are you saying 0×0 is 0?

@pamspencer5377

5 ай бұрын

@@pclark1332 I thought we were talking just exponents

@carlomartin6156

5 ай бұрын

I don't get so 0 to 0power = 1

You are a good teacher, you’d be a great teacher if you talked less!!! D

If you want to explain something explain how anything with a power of zero magically changes and becomes one. It just doesn't make sense and is illogical. Just because you hit a button on the calculator that tells you that it's one doesn't mean that it should be right. It's like people telling you that zero times zero is not zero. It's always going to be zero in the real world. If anything is at fault it's the faulty way in which I'm math problem is written.

show me how i can make one dollar out of zero dollars

@topkatz58

5 ай бұрын

You are not because your question is not a valid correlation to the problem.

@duggydugg3937

5 ай бұрын

@@topkatz58 fake rule

Explain to me, I have apple (0 power 0) (8power0) i have from nowhere 1 apple

@topkatz58

5 ай бұрын

For one thing 0^0 is undefined so you have created an unrealistic problem.

0 is not a # ..it is the absence of numbers .. your rule does not make sense

A 0

A = 0

You seem very sure about yourself. Ego

3° =1. 8^1 = 1 so the answer is 8. Why do you keep treating us as if we are stupid. Go and visit a psychiatrist. Happy woman's day

d

d)

8

24

8 is the answer

0

A

8

8

8

8

8

8

8

8

8