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# 10^3 is how many times (0.01)^3? a) 10^6 b) 10^8 c) 10^9 d)

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Manager
Joined: 23 Mar 2008
Posts: 216
10^3 is how many times (0.01)^3? a) 10^6 b) 10^8 c) 10^9 d) [#permalink]

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17 Aug 2008, 00:19
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10^3 is how many times (0.01)^3?

a) 10^6
b) 10^8
c) 10^9
d) 10^12
e) 10^18
Intern
Joined: 04 Jun 2008
Posts: 16
Concentration: Marketing, Strategy
GMAT 1: 690 Q48 V35
GPA: 3.31
WE: Engineering (Non-Profit and Government)

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17 Aug 2008, 01:22
puma wrote:
10^3 is how many times (0.01)^3?

a) 10^6
b) 10^8
c) 10^9
d) 10^12
e) 10^18

10^3 = 1000
0.01^3 = .000001

Take the decimal and start moving it to the right till you reach 1000.

It moved 9 places so 10^3 is 10^9 times 0.01^3
Manager
Joined: 27 May 2008
Posts: 139

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17 Aug 2008, 06:20
puma wrote:
10^3 is how many times (0.01)^3?

a) 10^6
b) 10^8
c) 10^9
d) 10^12
e) 10^18

(0.01)^3 = 0.00001 = 1/100000 = 1/10^5

10^3 = 10^8/10^5

Senior Manager
Joined: 09 Oct 2007
Posts: 463

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17 Aug 2008, 12:31
[quote="rahulgoyal1986]
(0.01)^3 = 0.00001 = 1/100000 = 1/10^5

10^3 = 10^8/10^5

You are missing an extra 0: .01^3 = .000001
Manager
Joined: 27 May 2008
Posts: 139

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17 Aug 2008, 19:42
oh yes u r r8 thanks!!
Manager
Joined: 31 Jul 2006
Posts: 232

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17 Aug 2008, 22:19
asdert wrote:
[

My answer is C.
.01=10^-2
(.01)^3= (10^-2)^3= 10^-6

10^3=(10^-6)*X
what's d OA
SVP
Joined: 30 Apr 2008
Posts: 1863
Location: Oklahoma City
Schools: Hard Knocks

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18 Aug 2008, 04:58
I agree: C.

.01 is 2 digits to the right of the decimal, so ^3 makes it 6 digits to the right of the decimal.

with 10^3, there will be 3 zeros. To divide .000001 into 1000, we have to move the decimal place to the right 6 until we have an integer (which will be 1) and add that number of zeros to 1000 to keep the answer the same. This would create 1 in to 1,000,000,000. Count how many zeros and that will be the exponent. 10^1 is the first zero, so 9 zeros = 10^9.

puma wrote:
10^3 is how many times (0.01)^3?

a) 10^6
b) 10^8
c) 10^9
d) 10^12
e) 10^18

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Senior Manager
Joined: 19 Mar 2008
Posts: 351

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18 Aug 2008, 07:52
Ans = (10^3)/(0.01^3) = (10^3)/[(10^(-6)] = 10^9
SVP
Joined: 07 Nov 2007
Posts: 1789
Location: New York

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18 Aug 2008, 09:16
puma wrote:
10^3 is how many times (0.01)^3?

a) 10^6
b) 10^8
c) 10^9
d) 10^12
e) 10^18

(0.01)^3 = (10^-2)^3 = 10^-6

Answer = 10^3 /10^-6 = 10^9
C
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Re: PS:exponent   [#permalink] 18 Aug 2008, 09:16
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# 10^3 is how many times (0.01)^3? a) 10^6 b) 10^8 c) 10^9 d)

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