You are Here: Home >< Maths

# Rules for simplifying exponents to multiple exponents?

Announcements Posted on
TSR's new app is coming! Sign up here to try it first >> 17-10-2016
1. Such as the difference between say:

2(^2^3)^4 vs 2^2^(3^4) for example

how do i know which is bigger
2. (Original post by KloppOClock)
Such as the difference between say:

2^(2^3)^4 vs 2^2^(3^4) for example

how do i know which is bigger
normally just making inequalities off like for like comparisons

i.e.

the left term becomes 2^2^(3*4) = 2^2^12
the right becomes 2^2^81
12<81 therefore the left term < the right term
3. (Original post by MathMoFarah)
normally just making inequalities off like for like comparisons

i.e.

the left term becomes 2^2^(3*4) = 2^2^12
the right becomes 2^2^81
12<81 therefore the left term < the right term

so the general idea is to multiply inside the brackets and then compare to see which is largest?
Attached Images

4. (Original post by KloppOClock)
so the general idea is to multiply inside the brackets and then compare to see which is largest?
Get them all in the same form (in this case 2^n)

for instance c would become 2^(9^3)=2^729

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register

Updated: September 21, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.