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10^-4*10^3 or 10^-12

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Carcass
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10^-4*10^3 or 10^-12 [#permalink] New post   19 Mar 2020, 10:28
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Quantity A
Quantity B
\(10^{-4} \times 10^3\)
\(10^{-12}\)




A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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GreenlightTestPrep
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Re: 10^-4*10^3 or 10^-12 [#permalink] New post   20 Mar 2020, 06:17
Carcass wrote:
Quantity A
Quantity B
\(10^{-4} \times 10^3\)
\(10^{-12}\)





Key concept: \(x^{-n} = \frac{1}{x^n}\)

Given:
Quantity A: \(10^{-4} \times 10^3\)
Quantity B: \(10^{-12}\)


Apply the Product Law to simplify Quantity A
Quantity A: \(10^{-1}\)
Quantity B: \(10^{-12}\)


Apply the above property to rewrite both quantities:
Quantity A: \(\frac{1}{10^1}\)
Quantity B: \(\frac{1}{10^{12}}\)


Simplify:
Quantity A: \(\frac{1}{10}\)
Quantity B: \(\frac{1}{1,000,000,000,000}\)

Answer: A

Cheers,
Brent
Prep Club for GRE Bot
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Re: 10^-4*10^3 or 10^-12 [#permalink]
20 Mar 2020, 06:17
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