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Simplifying expression with fractional power

Is there a simpler form for this? (I've come up with it as an intermediate step to solving a problem, but not sure I should proceed with it in this form.)

3/2(x^3/2)?

All I've come up with so far is 3/2{(sq rt x)^3}, but I don't think that's simpler...
Reply 1
Avatar for Notnek
Notnek
21
32x32\displaystyle \frac{3}{2} x^{\frac{3}{2}}

If this is what you mean then it is already in its simplest form.

If you need more help, post the whole problem.
Reply 2
Avatar for SZRoberson
SZRoberson
Okay, because it's not in LaTeX, I am not sure what you mean. I'll consider the first case that I'm thinking.

So, I see this:
Unparseable latex formula:

\left \frac {3}{2} \right x^{\frac {3}{2}}

.

Recall for xpqx^{\frac {p}{q}}, where q≠0q\not=0, the expression becomes xpq\sqrt[q] {x^p}.

You should grab 3x2x\frac {3x}{2} \sqrt {x}.
Reply 3
Avatar for Notnek
Notnek
21
Original post by SZRoberson

You should grab 3x2x\frac {3x}{2} \sqrt {x}.

I wouldn't call that a "simpler form" but it may be a useful form, depending on the question.
Reply 4
Avatar for Oldie
Oldie
OP
1
Yes, the expression was as both of you thought.

Both answers helpful - thanks! I think notnek's form may well be useful, as it's one of the functions that I'm working on using the Product Rule for differentiation.
Reply 5
Avatar for SZRoberson
SZRoberson
Original post by Oldie
Yes, the expression was as both of you thought.

Both answers helpful - thanks! I think notnek's form may well be useful, as it's one of the functions that I'm working on using the Product Rule for differentiation.


Well, you won't really need the product rule for this one, seeing as a constant multiplier is out front.

Just use the power rule.
Reply 6
Avatar for Notnek
Notnek
21
Original post by SZRoberson
Well, you won't really need the product rule for this one, seeing as a constant multiplier is out front.

Just use the power rule.


Oldie said that "it's one of the functions" so I'm assuming there is another and he will need to use the product rule.
Reply 7
Avatar for Oldie
Oldie
OP
1
I think she will. :-)

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