GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
10^-4*10^3 or 10^-12
[#permalink]
19 Mar 2020, 10:28
19 Mar 2020, 10:28
Expert Reply
00:00
Question Stats:
97% (00:18) correct
2% (00:04) wrong based on 76 sessions
Hide Show timer Statistics
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
[#permalink]
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
Moderators:
