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

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New post 17 Aug 2008, 01:19
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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

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Re: PS:exponent [#permalink]

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New post 17 Aug 2008, 02:22
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

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Re: PS:exponent [#permalink]

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New post 17 Aug 2008, 07:20
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


Answer B

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Re: PS:exponent [#permalink]

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New post 17 Aug 2008, 13:31
[quote="rahulgoyal1986]
(0.01)^3 = 0.00001 = 1/100000 = 1/10^5

10^3 = 10^8/10^5


Answer B[/quote]

You are missing an extra 0: .01^3 = .000001

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Re: PS:exponent [#permalink]

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New post 17 Aug 2008, 20:42
oh yes u r r8 thanks!! :-D

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Re: PS:exponent [#permalink]

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New post 17 Aug 2008, 23:19
asdert wrote:
[

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

10^3=(10^-6)*X
answer is 10^9
what's d OA

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Re: PS:exponent [#permalink]

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New post 18 Aug 2008, 05:58
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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Re: PS:exponent [#permalink]

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New post 18 Aug 2008, 08:52
Ans = (10^3)/(0.01^3) = (10^3)/[(10^(-6)] = 10^9

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Re: PS:exponent [#permalink]

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New post 18 Aug 2008, 10:16
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, 10:16
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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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