If x =-100^1/3*100^3 , then the value of 1/x is

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If x =-100^1/3*100^3 , then the value of 1/x is [#permalink]

14 Jan 2013, 06:51

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If x =-100^{1/3}*100^3 , then the value of 1/x is

A. between −5×10^6 and −4×10^6

B. between −2.5×10^−7 and −2×10^−7

C. equal to −100

D. between 2×10^−7 and 2.5×10^−7

E. between 4×10^6 and 5×10^6

[Reveal] Spoiler: OA

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Re: If x =-100^1/3*100^3 , then the value of 1/x is [#permalink]

14 Jan 2013, 07:19

daviesj wrote:

-\sqrt[3]{100} a bit more than -5 and is a bit less than -4 (-5^3=-125 and -4^3=-64). Actually -\sqrt[3]{100}\approx{-4.6}

So, -5*100^3<x<-4*100^3 --> -5*10^6<x<-4*10^6 --> \frac{1}{-4*10^6}<\frac{1}{x}<\frac{1}{-5*10^6} --> \frac{1}{-0.4*10^7}<\frac{1}{x}<\frac{1}{-0.5*10^7} --> -2.5*10^{-7}<\frac{1}{x}<-2*10^{-7}.

Answer: B.

Hope it's clear.
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Re: If x =-100^1/3*100^3 , then the value of 1/x is [#permalink] 14 Jan 2013, 07:19

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If x =-100^1/3*100^3 , then the value of 1/x is

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If x =-100^1/3*100^3 , then the value of 1/x is

If x =-100^1/3*100^3 , then the value of 1/x is

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