Math Is Fun Forum
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#1 2011-12-03 01:51:27
Exponents
Question 1:
If X^y=y^X,
then
(X/y)^(X/y)=?
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::P
Question 2:
IF 2x - 1/2x = 3,
then
16x^4 +1/(16x^4)=?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#2 2011-12-03 05:22:04
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponents
Hi Agnishom;
It is a little tough to understand what you want. Please use bracketing to make it clear.
Is this what you want?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#3 2011-12-03 05:35:38
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Exponents
hi bobbym
i think it's that. 
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#4 2011-12-03 06:20:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponents
Hi;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#5 2011-12-10 14:41:53
Re: Exponents
Can you give answers for Question 1
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#6 2011-12-10 15:08:06
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponents
Hi;
There are 3 that I know of:
x = 1 and y =1
x = 2 and y = 4
y = 2 and x = 4
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#7 2011-12-12 14:29:09
Re: Exponents
No, I wanted them in terms of x and y
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#8 2011-12-12 14:36:05
Re: Exponents
Question 3: (2^2001 + 2^1999)/(2^2000 - 2^1998) =?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#9 2011-12-12 15:31:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponents
No, I wanted them in terms of x and y
I am not following you. Can you show me what you want exactly?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#10 2011-12-12 20:18:59
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,626
Re: Exponents
hi Agnishom
Question 3: (2^2001 + 2^1999)/(2^2000 - 2^1998) =?
Bob
Last edited by Bob (2011-12-12 20:19:36)
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob 
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#11 2011-12-13 01:59:21
Re: Exponents
According to my Book:
I have got a few options to choose from:
Question 1
Option1: x^(x/y)
Option2: x^(y/x)
Option3: x^([x/y]-1)
Option4: x^([y/x]-1)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#12 2011-12-13 02:15:40
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Exponents
Hi;
I would go with Option 3. Do you see why?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#13 2011-12-13 04:09:40
- gyanshrestha
- Member
- Registered: 2007-11-06
- Posts: 41
Re: Exponents
answer for question no. 2 in my way.
here
squraring both sides we get
or
squaring both sides
Last edited by gyanshrestha (2011-12-13 04:12:28)
http://gyan.talkacademy.com.np
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#14 2011-12-13 09:17:25
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Exponents
hi Agnishom
Last edited by anonimnystefy (2011-12-13 09:19:05)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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