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# Exponents and Roots

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Joined: 15 Oct 2009
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Exponents and Roots [#permalink]  03 Nov 2009, 14:59
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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
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VP
Joined: 05 Mar 2008
Posts: 1473
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Re: Exponents and Roots [#permalink]  03 Nov 2009, 15:33
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?
Math Expert
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Re: Exponents and Roots [#permalink]  03 Nov 2009, 15:38
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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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Re: Exponents and Roots [#permalink]  03 Nov 2009, 15:42
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
Re: Exponents and Roots   [#permalink] 03 Nov 2009, 15:42
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