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Exponents and Roots

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Joined: 15 Oct 2009
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Exponents and Roots  [#permalink]

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New post 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

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Re: Exponents and Roots  [#permalink]

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New post 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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Re: Exponents and Roots  [#permalink]

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New post 03 Nov 2009, 16:38
2
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]

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New post 03 Nov 2009, 16:42
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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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Re: Exponents and Roots  [#permalink]

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