(1/4) to the 3/2 =? MANY will get WRONG! (No Calculator)
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- Опубликовано: 14 мар 2024
- How to evaluate a power with no calculator. Learn more math at TCMathAcademy.com/.
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Thankyou very much , SIR. Your teachings on maths is very helpfull and encouraging.
Good explanation of powers. However, IMO the solution becomes way more complex than necessary. I simply converted given problem to: sq root of[ ( 1/4)^3 ] . Then cubed 1/4 to 1/64 and took sq root of 1/64= 1/8.
Don't forget that RUclips rewards the submitter by the amount of time they take for the submission, whether it's necessary or not!
Or the other way round.
Sqrt 1/4 = 1/2.
(1/2)³ = 1/8.
What I did. What if the denominator had been 7? You wouldn’t have been able to rewrite it.
I did 1/4 to the power 1 times 1/4 to the power 1/2 because 3/2 is 1 +1/2. Which is 1/4 times 1/2. Voila 1/8. His solution seems unnecessarily complicated.
@@marknieuweboer8099That's the way I did it. Although I noted that the other valid solution of -1/8 was omitted as an option.
You are very user friendly,you kind of have that Mr Roger personality so I salute you in your endeavor to educate the masses in mathematics,GOD BLESS YOU SIR!
I'd do it on the calculator this way:
Note that 1/4 = 0.25. and
3/2= 1.5, so
.25 ^ 1.5 = 0.125, or 1/8
OR doing it by hand
SQRT(1/4)^3
SQRT(1/4) = 1/2
(1/2)^3 = 1 / 2^3 = 1/8
I do not know if the way I did it was mathematical sound but I converter the 3/2 to 1 1/2 the power of 1 makes no difference therefor 1/4 x 1/2 = 1/8 Also as a multiple choice when fractions are multiplied they get smaller so even without doing any math I would still choose 1/8 as the only possible answer and move on.
Good thinking IMHO
Very well explained. Thank you!
got it 1/8 3/2 is 1 1/2 thanks for the fun. great explaination.
I changed 1/4 to (1/2)^2. This gives me ((1/2)^2)^3/2. Multiply 2x3/2 leaves (1/2)3 which is 1/8.
Smart and easy way.
I think it is much easier to just look at this as the square root of 1/4 cubed. 1/4 cubed is 1/64 and its square root is 1/8.
Ty cleared things up.
Something raised to the (1/2) power is the square root. So the problem solution is the square root of 1/4, cubed = 1/2 x 1/2 x 1/2 = 1/8. Separating the 3/2 exponent into a square root operation followed by a cube operation makes the problem straightforward.
Yes.
Hi, I am retired and live in France, i try to do one of your questions each morning just for fun. 😊
Ll0/Ll00 scale on your slide rule?
What text books do you use for the maths skills explanations?
Check his website
Now I got a) 1/8 and it is easy for me about my approach of mental calculation in knowing 25tothepowerof3 is 15625 whereof the square root is125... ...of course 0,125 is 1/8.
...the algebraic way is easy also in that you are supposed to get the square root out of (1/4 )tothepowerof3, right? ...so 1/64 and thereof the square root gets you likewise to 1/8.
Le p'tit Daniel, who hopes that ain't wrong...
What would have been wrong with taking the (1/4)to the 3/2 as sqrt(1/4)cubed or sqrt(1/64) which is equal to 1/8?
That's how I did it. And while it is useful to know that a negative power is the reciprocal with sign of the power flipped, equally useful is knowing that a fractional power is a root.
There's nothing wrong with doing it by that method. Wahat he is teaching you is a method that might make more complex calculations involving indices easier.
Me 3. Yes. Much simpler.
Hi In general your methods of solving are usually very good.But,here in this problem you took the most Complicated method
03:20. I am sorry but 2 to the power of 3 is NOT 2 multiplied by itself THREE times. It is actually 2 multiplied by itself ONLY TWO times. To better understand my point, if you go on and multiply 2 by itself 3 times in a row, it would be 2x2x2x2 (See that I used the multiplication act three times which is the number of x's) so we will have 16. One more time. If you want 2 to the power of 2, you multiply 2 by itself ONLY ONCE.
Which is correct?Nobody knows.
From the given solutions there's only one that can be correct. 2 > 3/2 >1 and 1/4² = 1/16 then it is logical that 1/16 < 1/4^3/2 < 1/4. 1/8 is the only given solution that fits. Now to the video.
The answer is a
Quont
I took the sq rt of 1/4 to the 3rd power. Which is 1/64 .The sq rt of 1/64 is 1/8.
I don't even wanting to look at this one!😅
A)1/8 Ans
The tiny brackets give you pause for thought
Law of indices this gives
Square root of 1/4 power 3
1/2 power 3
1/8
I choose a.
What I was about to say.
2
a) 1/8
A
1/8
A.1/8
Your solution is more complicated than I would do, and misses teaching what fractional powers mean. (1/4) ^ 3/2 = ((1/4) ^ (1/2))^3 = (sqrt(1/4))^3 = (1/2)^3 = 1/8.
First thing first: 0.25 to the 1.5 power with a calculator.
Piece of cake!
I cheated because I need to review the right procedure. ;)
A 1/8
Do you have a link for GED math for 2024?
I believe 1/8 is the answer sir.
The brain works on electricity; therefor the brain is an electrical calculator.
Constructive criticism here.
I like the detailed solutions. But it’s almost 2 and a half minutes into the video when you say “Before we begin..”
I’d like to think most ppl are like me. I’m already here and don’t need a sales pitch. A clear and concise breakdown, straight to the reason I’m here would be greatly appreciated and I’d definitely subscribe.
Make the kind of videos you yourself would want to watch. If you’re a fan of verbose, long, drawn out chatter before getting to the point, then stay the course. A detailed solution which stayed on track could have been done in 5 minutes. Personally, I’d rather the remaining 10 or so minutes be spent doing other examples where viewers could pause the video and work along with you after watching the longer first solution.
So that’s it. Thx.
Ο αριθμητης θα ειναι 1 ετσι κι αλλιως. Ο παρανομαστης δεν θα ειναι 4 ουτε 0.5 ουτε 0.25 ... ΑΡΑ μονο 8. Αρα 1/8.
The answer is 1/8 but you think that i am stupid like you
A
1/8
A
1/8