ps question
This topic has expert replies
-
- Junior | Next Rank: 30 Posts
- Posts: 13
- Joined: Wed Aug 30, 2017 11:34 am
GMAT/MBA Expert
- ErikaPrepScholar
- Legendary Member
- Posts: 503
- Joined: Thu Jul 20, 2017 9:03 am
- Thanked: 86 times
- Followed by:15 members
- GMAT Score:770
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
$$x^{x^{x+1}}$$
$$\left(b^n\right)^m=b^{n\cdot m}$$
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
$$x^{x^{x+1}}$$
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