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Someone help! :(

Can anybody tell me the answer to this:

(3x)^(1/2) * x(^3/2)

Note that it is (3x)^(1/2) and not 3x^(1/2)
(edited 9 years ago)

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Reply 1
Avatar for TLK
TLK
8
Original post by creagle92
Can anybody tell me the answer to this:

(3x)^(1/2) * x(^3/2)

Note that it is (3x)^(1/2) and not 3x^(1/2)


What is it equal to?
Original post by creagle92
Can anybody tell me the answer to this:

(3x)^(1/2) * x(^3/2)

Note that it is (3x)^(1/2) and not 3x^(1/2)


you can split the first part like this

312×x12×x323^{\frac{1}{2}} \times x^{\frac{1}{2}} \times x^{\frac{3}{2}}


Does that help
Reply 3
Avatar for creagle92
creagle92
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Aahh sorry, I forgot to say I'm simlifying a fraction and I wanted to know if this was as far as it could be simplified.
The whole fraction is (3x^(3/4) * x^(3/2)) / (3x)^(1/4)
Reply 4
Avatar for creagle92
creagle92
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so is the simplest form x^2 (root 3)?
(edited 9 years ago)
Reply 5
Avatar for Notnek
Notnek
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Original post by creagle92
so is the simplest form x^2 (root 3)?

Yes.
Reply 6
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creagle92
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Original post by notnek
Yes.


Thanks!!
Reply 7
Avatar for Notnek
Notnek
21
Original post by creagle92
Aahh sorry, I forgot to say I'm simlifying a fraction and I wanted to know if this was as far as it could be simplified.
The whole fraction is (3x^(3/4) * x^(3/2)) / (3x)^(1/4)

But this doesn't simplify to the expression in your first post.
Reply 8
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creagle92
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Original post by notnek
But this doesn't simplify to the expression in your first post.


Oh, I need some help on this :frown:
Reply 9
Avatar for Notnek
Notnek
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Original post by creagle92
Oh, I need some help on this :frown:

What did you get when you simplified your numerator? Can you post all your working?
Reply 10
Avatar for creagle92
creagle92
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so (3x)^(3/4) * x^(2/3) = 3^(3/4) * x(3/4) * x^(2/3) = 3^(3/4) * x^(17/12)
Reply 11
Avatar for creagle92
creagle92
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All over 3^(1/4) * x^(1/4) is 3^(1/2) * x^(5/4)

Is this right?
Reply 12
Avatar for Notnek
Notnek
21
Original post by creagle92
so (3x)^(3/4) * x^(2/3) = 3^(3/4) * x(3/4) * x^(2/3) = 3^(3/4) * x^(17/12)

Is it x^(3/2) or x^(2/3) on the numerator? Your previous post said x^(3/2).
Reply 13
Avatar for Notnek
Notnek
21
Original post by creagle92
so (3x)^(3/4) * x^(2/3) = 3^(3/4) * x(3/4) * x^(2/3) = 3^(3/4) * x^(17/12)

And your previous post said 3x^(3/4) instead of (3x)^(3/4).

Can you start again with the correct question and your working.
Reply 14
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creagle92
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Original post by notnek
Is it x^(3/2) or x^(2/3) on the numerator? Your previous post said x^(3/2).


I'm so sorry, it is x^(3/2) I think I'm due some sleep haha
Reply 15
Avatar for creagle92
creagle92
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I will start again, sorry if I am frustrating you.

(3x)^(3/4) * x^(3/2) ALL OVER (3x)^(1/4)
Reply 16
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creagle92
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so the answer is x^2 ( root 3) like I first said :P
Reply 17
Avatar for Notnek
Notnek
21
Original post by creagle92
so the answer is x^2 ( root 3) like I first said :P

Yes :smile:
Reply 18
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creagle92
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Woohooo haha thanks for your patience and your help :smile:
Original post by creagle92
so the answer is x^2 ( root 3) like I first said :P


yes

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