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# Exponents and Roots

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Intern
Joined: 15 Oct 2009
Posts: 16

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03 Nov 2009, 15:59
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I havent found anywhere in my MGMAT books that addresses this. Or I have but cant remember where. How does the denominator of this problem
10^5 /(.001)^2

get converted to
((10^ -3)^2) --> (10^-6)

What are the rules behind this?

Thanks

Kudos [?]: [0], given: 2

VP
Joined: 05 Mar 2008
Posts: 1469

Kudos [?]: 295 [0], given: 31

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03 Nov 2009, 16:33
The answer to the problem is 10^11 so I'm not sure why the denominator would be 10^-6. Of course, I'm not a math whiz. Could you post the answer choices?

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Math Expert
Joined: 02 Sep 2009
Posts: 41684

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03 Nov 2009, 16:38
2
KUDOS
Expert's post
sac8513 wrote:
I havent found anywhere in my MGMAT books that addresses this. Or I have but cant remember where. How does the denominator of this problem
10^5 /(.001)^2

get converted to
(10^{-3})^2 --> (10^-6)

What are the rules behind this?

Thanks

Denominator $$0.001=\frac{1}{1000}=\frac{1}{10^3}=10^{-3}$$

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

So $$\frac{10^5}{(0.001)^2}=\frac{10^5}{10^{-6}}=10^5*10^6=10^{11}$$
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VP
Joined: 05 Mar 2008
Posts: 1469

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03 Nov 2009, 16:42
1
This post was
BOOKMARKED
Bunuel wrote:
sac8513 wrote:
I havent found anywhere in my MGMAT books that addresses this. Or I have but cant remember where. How does the denominator of this problem
10^5 /(.001)^2

get converted to
(10^{-3})^2 --> (10^-6)

What are the rules behind this?

Thanks

Denominator $$0.001=\frac{1}{1000}=\frac{1}{10^3}=10^{-3}$$

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

So $$\frac{10^5}{(0.001)^2}=\frac{10^5}{10^{-6}}=10^5*10^6=10^{11}$$

excellent..i can get the answer another way...but this helps

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28 Jul 2017, 21:49
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Re: Exponents and Roots   [#permalink] 28 Jul 2017, 21:49
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