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

How to solve an equation with rational exponents.
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[@Call-me-Ishmael]

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]

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...

[@vanessawelles4760]

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..:)

[@MrMousley]

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

[@robertdriscoll9859]

"Many will get wrong", "Many don't know where to start". Nice encouragement you provided there John!

[@danolson1467]

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.

[@HedwigjeEen]

I'm glad I'm not at school anymore

[@devonwilson5776]

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]

hi can you say that in English please?

[@terry_willis]

No bone today. Excellent lesson. Thanks Boss.

[@ebbi19401]

Took a different approach via log: logx= 4/3log2, hence x= 2,52...

[@wesleycreekmore7194]

2(2)^1/3

[@KarlSnyder-jh9ic]

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.

[@lurkerone7389]

Thank you

[@harrymatabal8448]

Cube root of 16

[@russelllomando8460]

fun. thanks for the lesson. i knew the exp was inversed, just couldn't remember the whole procedure.

[@giannaleoci2328]

x^3/4=2 x=2^4/3

[@darkst0rm2]

Another fun one in my head, mostly thanks to your refresher in a previous video. Keep up the good work!

[@pharmdiesel]

Thanks Mr. KZbin Math man!

[@DanielKurland]

Solved in my head. It's been a while but I remembered exponent rules.

[@photonqopt]

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.

[@moonmissionpassagetototali1952]

Why not show that 2^4/3 equals 2 times sqrt 2?

[@leaDR356]

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]

Never mind I get it. Thanks.

[@johnnyllooddte3415]

2>4/3 but i dont know how to solve it from there without a calculator

[@jordanfalkowski6924]

Wasnt it friday the movie when craig whistled

[@justin-hurd]

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]

I think I did that? Still got 2 cube root 2. So I think good

[@ashleyr3896]

2^(4÷3)

[@staggerlee6794]

Dude, if it takes longer than 8 minutes to explain, you can safely assume I aint ever going to get it.

[@samswift4921]

2.6 comes very close

[@harrymatabal8448]

How you know that. Maybe you were their maths teacher

[@rodrodrigues5402]

There we go again with the idea that Mahan will get this wrong. It is such a tiring opening.

[@mathmandrsam]

Yet true! Everyone named Mahan will get this wrong!

[@joso5554]

X=2^(4/3)… so what?

[@mauriziograndi1750]

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]

I agree! His explanations are over-engineered

[@lpslpslpslpslpslps]

Wut? x does not equal 2. x = cube root of 16 = 2^(4/3). If you think x = 2, your reasoning is way off.

[@jamesharmon4994]

I got 2*cubert(2). 😅

[@maxhenderson1890]

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]

@@maxhenderson1890 I know it is, which is why I added the laughing smiley. 😃

[@b213videoz]

x³/⁴ = 2 x = 2⁴/³

[@maxhenderson1890]

Solved this in 10 seconds in my head. Really doesn't need a 20 minute video.

[@Christopherdpenha]

John suffers from verbal diarrhea VERBAL DIARRHEA, VERBAL DIARRHEA, VERBAL DIARRHEA 😢😢😢😢😢😢😢😢😢😢THE

[@jackcrouch1285]

Dont invade peoples integers

[@user-vz6ff9vw6l]

Qitth westt chemrew yantex we need more and more anmore x yanten righthn allah bmayshr beshta ylkefat aza

[@bulldog6925]

Huh?

[@kennethwright870]

X^(3/4)=2 X=4

[@joso5554]

Not even close. How do you get from line 1 (right) to line 2 (false)?!?

[@kennethwright870]

Of course we have to raise both sides to ^(4/3) to get the left side exponent to 1, so 2^(4/3)

[@RodCalidge]

SORRY, BUT A GRADE 2 STUDENT COULD DO THIS IN UNDER 20 SECONDS.

[@Astrobrant2]

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]

@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 ).