Question

how do you cancel a 3/2 power?

Answer 1

can u give an example...not quite sure what u meant

Answer 2

You don't just cancel a 3/2 power. What exactly are you trying to do?

Answer 3

like how you would use a square root to cancel something squared

Answer 4

\[v ^{3/2} for instance\]

Answer 5

Well just to make sure you know what a 3/2 power is,
2^(3/2) = sq root (2^3)

Answer 6

to me its the same as this:\[\sqrt{v^{3}} \]

Answer 7

yes that's right

Answer 8

thats what i was looking for/ i dont think its going to do what i had intentions for though

Answer 9

You are probably looking for something like this right?
2^(3/2) = sq root (8)
squaring both sides
8 = 8

Answer 10

[x^(3/2)]^2 = x^3

Answer 11

\[v _{y}^{3/2}=mg/b(1-e ^{(-b/m)t})\]

Answer 12

i was trying to get vy by itself

Answer 13

wow - that's a bit difficult.
You could square both sides and you'd have
vy^3 = [mg/b(1−e(−b/m)t)]^2
which might make an even bigger mess.

Answer 14

yeah thats what i was thinking. ill probably leave it the way it is. i had to find a equation of the terminal speed under a drag force that was proprtional to v\[_{y ^{3/2}}\]

Answer 15

Put both sides to the power of the reciprocal of the power.

\[\huge v^{\frac{ 3 }{ 2 }} = x\] put both sides to the power 2/3
\[\huge (v^{\frac{ 3 }{ 2 }})^{\frac{ 2 }{ 3 }} = x ^{\frac{ 2 }{ 3 }}\]
which gives \[\huge v = x ^{\frac{ 2 }{ 3 }}\]

Answer 16

That's how you get rid of any power - put both sides to the reciprocal of the power.

Answer 17

thank you sir, thats exactly what i was looking for

Answer 18

4(3/2) = 8 So,
4 = 8^(2/3)
and it does
Good work agent smith

Answer 19

:) well, that's the same thing you're doing when you take the square root of both sides of an equation - putting both sides to the power of 1/2, to get rid of a power of 2.

Answer 20

thats a good explanation