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.
Which of the following is equal to 8^24?
[#permalink]
14 Mar 2019, 10:33
14 Mar 2019, 10:33
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
74% (01:39) correct
25% (01:29) wrong based on 91 sessions
Hide Show timer Statistics
Which of the following is equal to \(8^{24}\) ?
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Which of the following is equal to 8^24?
[#permalink]
19 Mar 2019, 04:46
19 Mar 2019, 04:46
1
Bookmarks
Carcass wrote:
Which of the following is equal to \(8^{24}\) ?
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
Indicate all possible values.
A. \(2^{96}\)
B. \(4^{36}\)
C. \(12^{12}\)
D. \(16^{18}\)
E. \(2^{48}\)
F. \(32^{15}\)
\(8^{24} = (2^3)^{24} = 2^{72}\)
ELIMINATE A and E (since they have base 2, but a DIFFERENT exponent)
Now check the remaining answer choices...
B. \(4^{36}=(2^2)^{36}=2^{72}\)
PERFECT!
C. \(12^{12}\)
\(2^{72}\) is a product consisting of 2's ONLY
This means \(2^{72}\) is NOT divisible by 3
However, since 12 is divisible by 3, we know that \(12^{12}\) is divisible by 3
So, there's no way that \(12^{12}\) can equal \(2^{72}\)
ELIMINATE C
D. \(16^{18}=(2^4)^{18}=2^{72}\)
PERFECT!
F. \(32^{15}=(2^5)^{15}=2^{75}\)
ELIMINATE F
Answer: B, D
RELATED VIDEO FROM OUR COURSE
Re: Which of the following is equal to 8^24?
[#permalink]
15 Jul 2019, 08:03
15 Jul 2019, 08:03
can u explain c indetail
