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

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Math Expert
Joined: 02 Sep 2009
Posts: 64249

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03 Jan 2017, 01:43
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:49) correct 15% (01:12) wrong based on 177 sessions

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$$\frac{(\sqrt{400})^3}{2}$$

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

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Intern
Joined: 10 Dec 2014
Posts: 1
Location: India
GMAT 1: 720 Q49 V38
GPA: 3.36
WE: Information Technology (Manufacturing)

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03 Jan 2017, 02:46
1
b : 4000

400^3/2 = 8000

8000/2 = 4000
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4992
Location: India
GPA: 3.5

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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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Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2800

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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

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