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# cube root of 125)(cube root of 125) / (square root of 125) =

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Senior Manager
Joined: 11 May 2004
Posts: 454
Location: New York
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cube root of 125)(cube root of 125) / (square root of 125) = [#permalink]

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15 Oct 2005, 15:32
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(cube root of 125)(cube root of 125) / (square root of 125) = ?
Manager
Joined: 15 Jul 2005
Posts: 105
Followers: 1

Kudos [?]: 9 [0], given: 0

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15 Oct 2005, 16:29
125^1/6

(125^1/3 * 123^1/3) / 125^1/2

= 125^(1/3+1/3-1/2)

= 125^(2/3-1/2)

= 125^(1/6)
Manager
Joined: 15 Jul 2005
Posts: 105
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Kudos [?]: 9 [0], given: 0

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15 Oct 2005, 16:32
Alternatively:

125^1/3*125^1/3 / 125^1/2

= 5*5/5*5^1/2

= 5^1/2
Director
Joined: 21 Aug 2005
Posts: 790
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Kudos [?]: 26 [0], given: 0

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15 Oct 2005, 16:39
(5*5)/5*sqrt(5) = 5/sqrt(5) = sqrt(5) or 5^1/2
15 Oct 2005, 16:39
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# cube root of 125)(cube root of 125) / (square root of 125) =

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