If you are interested, please send your resume and a few sentences on why you are a deserving candidate to info@mbamission.com. In the subject line, please write “Free Mock Interview Session.” We will select five lucky MBA applicants and will notify the winners ASAP. Our deadline for submissions is April 25.

If you are interested, please send your resume and a few sentences on why you are a deserving candidate to info@mbamission.com. In the subject line, please write “Free Brainstorming Session.” We will select two lucky MBA applicants and will notify the winners ASAP. Our deadline for submissions is April 25.

First, we need to figure out what this strange operation means for a few small integers n. Let’s build upward from 1:

x&1 = x

x&2 = x raised to the power of x&1 (which is just x), so x&2 = x^x = x^x (we’ll use the caret symbol ^ to represent exponentiation, since as we’ll see, we’re going to do it a lot!)

x&3 = x raised to the power of x&2, so x&3 = x^(x^x)

x&4 = x^(x^(x^x))

So the number after the & sign tells you how many x’s are in the exponential expression. Now we can translate the answer choices. As always, do the operation inside the parentheses first.

(A) (3&2)&2

3&2 = 3^3 = 27

27&2 = 27^27 = (3^3)^27 = 3^81

(B) 3&(1&3)

1&3 = 1^(1^1) = 1^1 = 1

3&1 = 3

(C) (2&3)&2

2&3 = 2^(2^2) = 2^4 = 16

16&2 = 16^16 = (2^4)^16 = 2^64

Because both the base and the exponent of this answer choice are smaller, we can tell that choice A is still the winner at this point.

(D) 2&(2&3)

2&3 = 2^(2^2) = 2^4 = 16

2&16 = 2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^2)))))))))))))))

There are sixteen 2’s in this “tower of powers”! This number is incredibly large, far larger than 3^81. Let’s start to collapse the layers to see why.

2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^2)))))))))))))))

= 2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^4))))))))))))))

= 2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^(2^16)))))))))))))

2^16 = 65,536. You aren’t expected to know that, of course, but now imagine 2 raised to that power. This number has thousands of digits.

Now imagine 2 raised to THAT power.

Then 2 raised to THAT power.

And so on, over 10 more times!

This number is the winner by far among the first four answer choices.

(E) (2&2)&3

2&2 = 2^2 = 4

4&3 = 4^(4^4) = 4^(256) = 2^512

While enormous, this number is still far smaller than answer choice (D).

By the way, the operation represented by the & sign in this problem is sometimes called “tetration.” The reason is that just as multiplication is repeated addition, and exponentiation is repeated multiplication, so-called “tetration” is repeated exponentiation. (“Tetra-“ means “four,” and this operation is fourth in line: addition, multiplication, exponentiation, tetration.) Tetration is also called superexponentiation, ultraexponentiation, hyper-4, and power tower.

The correct answer is (D).

The operation x&n for all positive integers n greater than 1 is defined in the following manner:

x&n = x raised to the power of x&(n–1).

If x&1 = x, which of the following expressions has the greatest value?

(A) (3&2)&2

(B) 3&(1&3)

(C) (2&3)&2

(D) 2&(2&3)

(E) (2&2)&3

mbaMission Founder/President, Jeremy Shinewald will use this simple but often perplexing question as the starting point for a seminar for prospective business school applicants. Attendees will walk through a series of examples, challenging their understanding of the essays themselves.  The goal of this seminar is to help you uncover your stories, craft compelling opening statements, develop meaningful goal statements, connect your goals to your target school’s resources, and more.

There will be a Q&A session after the presentation and Jeremy will remain online to discuss your personal inquiries.

Join us for this valuable event that will be essential to your B-School planning!

• All attendees of this exclusive event will receive:$100 off any 9-session ManhattanGMAT course
• Free access to a ManhattanGMAT computer adaptive practice exam
• Free half hour consultation with an mbaMission consultant

Sign up today!

Jeremy Shinewald, Founder and President of mbaMission, will kick things off by discussing seven factors which differentiate MBA programs – the flexibility of a program’s curriculum, breadth of core courses, different methods of instruction, varying sizes of the cohorts and more. Thereafter, our guests will discuss these elements as they pertain to their programs and answer any questions you may have on the admissions process. Tune in so that you can make an educated decision when you apply!

Join us for an  event that will be essential to your B-School planning!

All attendees at this exclusive event will receive:

• $100 off any 9-session ManhattanGMAT course
• Free access to a ManhattanGMAT computer adaptive practice exam
• Free half hour consultation with an mbaMission consultant

Sign up today!

By taking action, you can dramatically improve your chances of gaining admission to a top-MBA program, whenever you choose to apply. Indeed, now is the time to shape your MBA candidacy. Join mbaMission Founder/President, Jeremy Shinewald, as he leads prospective applicants through a Long Term Planning Seminar.

Topics of discussion will include:

• Maximizing the Impact of Community Activities
• Accelerating Personal Goals
• Building an Alternative Transcript
• Taking and Retaking the GMAT
• Making the Most of Campus Visits
• Understanding the differences between MBA programs
• More…

All attendees at this exclusive event will receive:

• $100 off any 9-session ManhattanGMAT course
• Free access to a ManhattanGMAT computer adaptive practice exam
• Free half hour consultation with an mbaMission consultant

Sign up today!

mbaMission Senior Consultant, Angela Guido, will use this simple but often perplexing question as the starting point for a seminar for prospective business school applicants. Attendees will walk through a series of examples, challenging their understanding of the essays themselves.  The goal of this seminar is to help you uncover your stories, craft compelling opening statements, develop meaningful goal statements, connect your goals to your target school’s resources and more.

There will be a Q&A session after the presentation and Angela will remain online to discuss your personal inquiries.

Join us for this valuable event that will be essential to your B-School planning!

• All attendees of this exclusive event will receive:$100 off any 9-session ManhattanGMAT course
• Free access to a ManhattanGMAT computer adaptive practice exam
• Free half hour consultation with an mbaMission consultant

Sign up today!

Jeremy will help prospective MBAs understand the differences that exist among top MBA programs and elaborate on areas that will profoundly affect students’ academic and social lives — including the flexibility of a program’s curriculum, breadth of core courses, unique methods of instruction, varying sizes of the cohorts and more. Jeremy will also guide attendees through a series of essay-writing exercises that challenge them to uncover their personal and nuanced stories, craft compelling opening statements, develop meaningful goal statements, connect their goals to their target school’s resources, and more.

There will be Q&A sessions after each presentation and, following that, Jeremy will remain on site to discuss specific candidate inquiries. Attendees will also be able to sign up for free in-person consultation sessions with Jeremy during his stay in London.

Join us for this valuable event that will be essential to your B-School planning!

July 14^th: “Sold out”

July 15^th: Sign up!

July 17^th: Sign up! 

All attendees at these exclusive events will receive:

• $100 off any 9-session ManhattanGMAT course
• Free access to a ManhattanGMAT computer adaptive practice exam
• Free half hour consultation with Jeremy Shinewald (appointments can be scheduled after the workshop!)