Math Is Fun Forum
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#1 2015-01-31 23:49:27
Last two digits
What are the last two digits of 33^28?
'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'
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#2 2015-02-01 00:37:14
- Olinguito
- Member
- Registered: 2014-08-12
- Posts: 649
Re: Last two digits
Direct calculation gives
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Last edited by Olinguito (2015-02-01 00:43:57)
Bassaricyon neblina
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#3 2015-02-01 01:11:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Last two digits
The whole problem can be simplified down to
You can finish now easily.
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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#4 2015-02-01 23:06:51
Re: Last two digits
How do you get to that?
'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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#5 2015-02-02 04:29:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Last two digits
Thanks to Newton!
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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#6 2015-02-03 03:32:37
Re: Last two digits
Who is Newton?
'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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#7 2015-02-03 04:04:56
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Last two digits
He's an element of the set P.
Also:
When
, is divisible by 100, so its last two digits are 00. Because of that, the last two digits of are the same as those ofLast edited by anonimnystefy (2015-02-03 04:19:22)
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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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#8 2015-02-03 12:37:12
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Last two digits
Who is Newton?
The guy who invented the method I used.
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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