ps question

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 13
Joined: Wed Aug 30, 2017 11:34 am

ps question

by harshitpuri » Wed Nov 22, 2017 6:39 am
Image

Answer is not A.

GMAT/MBA Expert

User avatar
Legendary Member
Posts: 503
Joined: Thu Jul 20, 2017 9:03 am
Thanked: 86 times
Followed by:15 members
GMAT Score:770

by ErikaPrepScholar » Wed Nov 22, 2017 9:38 am
This question relies on knowing a power rule:

$$\left(b^n\right)^m=b^{n\cdot m}$$

Plugging in x^x for x gives

$$\left(x^x\right)^{x^x}$$

Applying the power rule gives

$$x^{x\cdot x^x}$$

Which simplifies to

$$x^{x^{x+1}}$$
Image

Erika John - Content Manager/Lead Instructor
https://gmat.prepscholar.com/gmat/s/

Get tutoring from me or another PrepScholar GMAT expert: https://gmat.prepscholar.com/gmat/s/tutoring/

Learn about our exclusive savings for BTG members (up to 25% off) and our 5 day free trial

Check out our PrepScholar GMAT YouTube channel, and read our expert guides on the PrepScholar GMAT blog