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3x to the (3/4) power - 6 = 0, Many don’t know where to start… 

TabletClass Math
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How to solve an equation with rational exponents.
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19 янв 2024

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Комментарии : 53   
@Call-me-Ishmael
@Call-me-Ishmael 5 месяцев назад
Love all these people saying the did it in 30s…It’s not FOR YOU. It’s for people learning it for the first time and it is remarkably well explained.🎉
@MargaretCutt-um8iq
@MargaretCutt-um8iq 4 месяца назад
I think the point is, a lot of this stuff isn't being taught anymore. As is the case for a lot of other things not being taught anymire...
@devonwilson5776
@devonwilson5776 5 месяцев назад
Greetings. Yes we can. The value for X that satisfies the expression is 2(2)^1/3. The given expression can be written as X^3/4=2 by dividing the entire expression by 3 and transposing the known quantity to the right hand side. Now, moving on, we will raise each side of the expression to the 4th power to get (X^3/4)^4=2^4, and X^3=16, from which it is determined that X =2(2)^1/3. Lovely.
@bigdog3628
@bigdog3628 Месяц назад
hi can you say that in English please?
@robertdriscoll9859
@robertdriscoll9859 5 месяцев назад
"Many will get wrong", "Many don't know where to start". Nice encouragement you provided there John!
@danolson1467
@danolson1467 5 месяцев назад
If you did in fact get it wrong, then you won't feel so alone. And if you got it right, you can feel a little bit special.
@vanessawelles4760
@vanessawelles4760 24 дня назад
Lot easier just to see that if 3x^3/4 =6 then.... x^3/4 must = 2 then 4th power of both side equation to see the final answer..:)
@HedwigjeEen
@HedwigjeEen 5 месяцев назад
I'm glad I'm not at school anymore
@MrMousley
@MrMousley 2 месяца назад
This might be completely wrong but .. 3X^3/4 - 6 = 0 means that 3X^3/4 = 6 and X^3/4 = 2 and X = 2^4/3
@darkst0rm2
@darkst0rm2 5 месяцев назад
Another fun one in my head, mostly thanks to your refresher in a previous video. Keep up the good work!
@lurkerone7389
@lurkerone7389 4 месяца назад
Thank you
@terry_willis
@terry_willis 5 месяцев назад
No bone today. Excellent lesson. Thanks Boss.
@ebbi19401
@ebbi19401 5 месяцев назад
Took a different approach via log: logx= 4/3log2, hence x= 2,52...
@KarlSnyder-jh9ic
@KarlSnyder-jh9ic 2 месяца назад
I can raise 2 to the 4th power then take the cube root. Or I can take the cube root, then raise it to the 4th power. And get the same answer! I didn't know that.
@wesleycreekmore7194
@wesleycreekmore7194 5 месяцев назад
2(2)^1/3
@pharmdiesel
@pharmdiesel 5 месяцев назад
Thanks Mr. RU-vid Math man!
@russelllomando8460
@russelllomando8460 5 месяцев назад
fun. thanks for the lesson. i knew the exp was inversed, just couldn't remember the whole procedure.
@DanielKurland
@DanielKurland 5 месяцев назад
Solved in my head. It's been a while but I remembered exponent rules.
@harrymatabal8448
@harrymatabal8448 4 месяца назад
Cube root of 16
@giannaleoci2328
@giannaleoci2328 5 месяцев назад
x^3/4=2 x=2^4/3
@moonmissionpassagetototali1952
@moonmissionpassagetototali1952 4 месяца назад
Why not show that 2^4/3 equals 2 times sqrt 2?
@photonqopt
@photonqopt 5 месяцев назад
Unless x is supposed to be real, there are two other complex number solutions and this video doesn't cover that at all while going unnecessarily long to get the obvious / trivial real value solution.
@jordanfalkowski6924
@jordanfalkowski6924 5 месяцев назад
Wasnt it friday the movie when craig whistled
@staggerlee6794
@staggerlee6794 5 месяцев назад
Dude, if it takes longer than 8 minutes to explain, you can safely assume I aint ever going to get it.
@johnnyllooddte3415
@johnnyllooddte3415 5 месяцев назад
2>4/3 but i dont know how to solve it from there without a calculator
@justin-hurd
@justin-hurd 5 месяцев назад
I kept getting 2 (1/4) - 6 = 0 which doesn't add up, so I'm still unsure how to correctly get it to = 0 😅 I was taught to make whole numbers fractions to handle fractions, ie 3 becomes 3/1, so the result is 9/4. Then again, I barely passed math haha
@Nicoleandstuff
@Nicoleandstuff 5 месяцев назад
I think I did that? Still got 2 cube root 2. So I think good
@ashleyr3896
@ashleyr3896 5 месяцев назад
2^(4÷3)
@samswift4921
@samswift4921 5 месяцев назад
2.6 comes very close
@harrymatabal8448
@harrymatabal8448 28 дней назад
How you know that. Maybe you were their maths teacher
@maxhenderson1890
@maxhenderson1890 5 месяцев назад
Solved this in 10 seconds in my head. Really doesn't need a 20 minute video.
@leaDR356
@leaDR356 5 месяцев назад
Why do you unnecessarily make stuff hard to follow? All you need to do is x^(3/4) = 2 (x^3)^1/4 = (2^4)^(1/4) Using the power rule x^3 = 2^4 x = 2^(4/3)
@talenthunter818
@talenthunter818 5 месяцев назад
Never mind I get it. Thanks.
@rodrodrigues5402
@rodrodrigues5402 5 месяцев назад
There we go again with the idea that Mahan will get this wrong. It is such a tiring opening.
@mathmandrsam
@mathmandrsam 5 месяцев назад
Yet true! Everyone named Mahan will get this wrong!
@jamesharmon4994
@jamesharmon4994 5 месяцев назад
I got 2*cubert(2). 😅
@maxhenderson1890
@maxhenderson1890 5 месяцев назад
I assume you mean 2 * ³√2. This is also correct. If x = 2^(4/3), then we can evaluate (2^4)^(1/3) = 16^(1/3) = 2 * ³√2
@jamesharmon4994
@jamesharmon4994 5 месяцев назад
@@maxhenderson1890 I know it is, which is why I added the laughing smiley. 😃
@Christopherdpenha
@Christopherdpenha 5 месяцев назад
John suffers from verbal diarrhea VERBAL DIARRHEA, VERBAL DIARRHEA, VERBAL DIARRHEA 😢😢😢😢😢😢😢😢😢😢THE
@b213videoz
@b213videoz 5 месяцев назад
x³/⁴ = 2 x = 2⁴/³
@mauriziograndi1750
@mauriziograndi1750 5 месяцев назад
Good lesson, but is evident that all that manipulation is not necessary. Maths is about making difficult things understandable in an easy way, not the other way around. It seems a show up of manipulation, thing is it's not necessary here. A pupil should be shown immediately to see that x is 2, then briefly explain why, not the other way round. Although I compliment you for your manipulation skills I cannot do for the way you put it unnecessarily.
@gregorykeane2987
@gregorykeane2987 5 месяцев назад
I agree! His explanations are over-engineered
@lpslpslpslpslpslps
@lpslpslpslpslpslps 5 месяцев назад
Wut? x does not equal 2. x = cube root of 16 = 2^(4/3). If you think x = 2, your reasoning is way off.
@joso5554
@joso5554 4 месяца назад
X=2^(4/3)… so what?
@jackcrouch1285
@jackcrouch1285 Месяц назад
Dont invade peoples integers
@user-vz6ff9vw6l
@user-vz6ff9vw6l 5 месяцев назад
Qitth westt chemrew yantex we need more and more anmore x yanten righthn allah bmayshr beshta ylkefat aza
@bulldog6925
@bulldog6925 5 месяцев назад
Huh?
@kennethwright870
@kennethwright870 5 месяцев назад
X^(3/4)=2 X=4
@joso5554
@joso5554 4 месяца назад
Not even close. How do you get from line 1 (right) to line 2 (false)?!?
@kennethwright870
@kennethwright870 4 месяца назад
Of course we have to raise both sides to ^(4/3) to get the left side exponent to 1, so 2^(4/3)
@RodCalidge
@RodCalidge 5 месяцев назад
SORRY, BUT A GRADE 2 STUDENT COULD DO THIS IN UNDER 20 SECONDS.
@Astrobrant2
@Astrobrant2 4 месяца назад
2nd grade students are barely learning the concept of multiplication. They have no idea what exponents are -- much less, how to deal with fractional exponents (all caps notwithstanding).
@RodCalidge
@RodCalidge 4 месяца назад
@Astrobrant2 Apologize for the caps. I hadn't noticed my keyboard was set on capitals when I posted. My bad. And you're right. A Second grade student would NOT be expected to know this level of math. Don't know what I was thinking. (Caps intentional this time ).
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