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10^-4*10^3 or 10^-12
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19 Mar 2020, 10:28
19 Mar 2020, 10:28
Expert Reply
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Question Stats:
97% (00:19) correct
2% (00:04) wrong based on 73 sessions
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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.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 10^-4*10^3 or 10^-12
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20 Mar 2020, 06:17
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
gmatclubot
Re: 10^-4*10^3 or 10^-12 [#permalink]
20 Mar 2020, 06:17
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