If

This topic has expert replies
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Sun Apr 21, 2019 10:17 pm
BTGmoderatorDC wrote:Image

OA D

Source: Magoosh
We have (√x)^(1/3) = x/5

Applying cube of both the sides, we have

[(√x)^(1/3)]^3 = [x/5]^3

(√x)^(3/3)= [x/5]^3

√x = [x/5]^3

Squaring both the sides, we have

(√x)^2 = [{x/5)^3]^2

x = (x/5)^6

x = x^6 / 5^6

5^6 = x^6 / x

5^6 = x^5

x = (5^6)^(1/5)

The correct answer: D

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: GMAT Manhattan | GRE Prep Courses Princeton | ACT Prep Courses Dallas | New York IELTS Tutoring | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Tue Apr 23, 2019 7:04 pm
BTGmoderatorDC wrote:Image


OA D

Source: Magoosh
Simplifying, we have:

(x^(½))^(⅓) = x/5

x^(1/6) = x/5

x = (x^6)/(5^6)

(5^6)(x) = x^6

5^6 = x^5

^5√(5^6) = x

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage