 It is currently 24 Mar 2019, 13:09 ### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink]
Expert's post 00:00

Question Stats: 50% (00:17) correct 50% (04:16) wrong based on 4 sessions
If $$f(a, b) = a^2b^4$$, and $$f(m, n) = 5$$, what is the value of f(3m, 2n)?

[Reveal] Spoiler: OA
720

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 , given: 397

Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink]
Expert's post
Explanation

Plug m and n into the function in place of a and b. If f(m, n) = 5, then:
$$m^2n^4 = 5$$

This cannot be further simplified, so continue to the second part of the problem: plug $$3m$$ and $$2n$$ into the function for a and b:

$$f(3m, 2n) = (3m)^2(2n)^4 = 9m^2 16n^4 = 144m^2n^4$$

Since $$m^2n^4 = 5$$, $$144m^2n^4 = 144(5) = 720$$.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3   [#permalink] 31 Jul 2018, 14:20
Display posts from previous: Sort by

# If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.