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(400^(1/2))^3/2

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Math Expert
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Joined: 02 Sep 2009
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(400^(1/2))^3/2  [#permalink]

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New post 03 Jan 2017, 01:43
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

85% (00:49) correct 15% (01:12) wrong based on 176 sessions

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Joined: 10 Dec 2014
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Re: (400^(1/2))^3/2  [#permalink]

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New post 03 Jan 2017, 02:46
1
b : 4000

400^3/2 = 8000

8000/2 = 4000
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Re: (400^(1/2))^3/2  [#permalink]

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New post 03 Jan 2017, 08:00
1
1
Bunuel wrote:
\(\frac{(\sqrt{400})^3}{2}\)

A. 8000
B. 4000
C. 2000
D. 1000
E. 500

\(\sqrt{400} = 20\)

\(20^3 = 8000\)

\(\frac{8000}{2} = 4000\)

Hence, answer will be (B) 4000
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Re: (400^(1/2))^3/2  [#permalink]

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New post 04 Jan 2017, 07:29
1
Bunuel wrote:
\(\frac{(\sqrt{400})^3}{2}\)

A. 8000
B. 4000
C. 2000
D. 1000
E. 500


Since √400 = 20, (√400)^3 = 20^3 = 8,000

Finally, we are left with:

8,000/2 = 4,000

Answer: B
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Re: (400^(1/2))^3/2  [#permalink]

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New post 17 Jan 2017, 16:32
(400)^{\(\frac{3}{2}\)}
(2 x 10)^{2} x \(\frac{3}{2}\)
(20)^\(\frac{3}{2}\)
4000
B
GMAT Club Bot
Re: (400^(1/2))^3/2   [#permalink] 17 Jan 2017, 16:32

(400^(1/2))^3/2

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