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.
If x^a = 2, x^b = 3 and x^c = 6 then x^(3a + b - 2c) = ?
[#permalink]
15 Apr 2020, 08:37
15 Apr 2020, 08:37
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
82% (01:43) correct
17% (01:38) wrong based on 29 sessions
Hide Show timer Statistics
If \(x^a = 2\), \(x^b = 3\) and\(x^c = 6\) then \(x^{(3a+b-2c)} =\) ?
(A) 1/9
(B) 1/6
(C) 1/2
(D) 2/3
(E) 3/4
(A) 1/9
(B) 1/6
(C) 1/2
(D) 2/3
(E) 3/4
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If x^a = 2, x^b = 3 and x^c = 6 then x^(3a + b - 2c) = ?
[#permalink]
15 Apr 2020, 09:23
15 Apr 2020, 09:23
Carcass wrote:
If \(x^a = 2\), \(x^b = 3\) and\(x^c = 6\) then \(x^{(3a+b-2c)} =\) ?
(A) 1/9
(B) 1/6
(C) 1/2
(D) 2/3
(E) 3/4
(A) 1/9
(B) 1/6
(C) 1/2
(D) 2/3
(E) 3/4
Take: \(x^a = 2\)
Raise both sides of the equation to the power of 3 to get: \((x^a)^3 = 2^3\)
Simplify: \(x^{3a} = 8\)
Take: \(x^c = 6\)
Raise both sides of the equation to the power of 2 to get: \((x^c)^2 = 6^2\)
Simplify: \(x^{2c} = 36\)
So, \((x^{3a})(x^b) = (8)(3)\)
Simplify: \(x^{3a+b}=24\)
So, \(\frac{x^{3a+b}}{x^{2c}}=\frac{24}{36}\)
Simplify: \(x^{3a+b-2x}=\frac{24}{36}\)
Simplify: \(x^{3a+b-2x}=\frac{2}{3}\)
Answer: D
Cheers,
Brent
RELATED VIDEO
Re: If x^a = 2, x^b = 3 and x^c = 6 then x^(3a + b - 2c) = ?
[#permalink]
30 May 2023, 02:31
30 May 2023, 02:31
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
