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.
4^2^3-4^3
[#permalink]
07 Jan 2023, 04:23
07 Jan 2023, 04:23
Expert Reply
00:00
Question Stats:
76% (00:45) correct
23% (01:01) wrong based on 21 sessions
Hide Show timer Statistics
Quantity A |
Quantity B |
\([ 4^2]^3-4^3\) |
\([4^3]^2-4^2\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 4^2^3-4^3
[#permalink]
31 Jan 2023, 12:18
31 Jan 2023, 12:18
Expert Reply
OE
Compare, don't calculate! When a power is raised to another power, the exponents are multiplied. Thus: (4^2)^3 = 4^6 and (4^3)^2 = 4^6. You can subtract 4^6 from both sides so that the comparison boils down to:
A=-4^3
B=-4^2
B > A
Compare, don't calculate! When a power is raised to another power, the exponents are multiplied. Thus: (4^2)^3 = 4^6 and (4^3)^2 = 4^6. You can subtract 4^6 from both sides so that the comparison boils down to:
A=-4^3
B=-4^2
B > A
gmatclubot
Re: 4^2^3-4^3 [#permalink]
31 Jan 2023, 12:18
Moderators:
