### Prove me wrong

Posted:

**Thu Nov 24, 2011 10:26 pm**0^0 = 0^{1 - 1} = 0^1.0^-1 = 0.0 = 0

I can't get what and where is the mistake ...can anyone help me??

I can't get what and where is the mistake ...can anyone help me??

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Posted: **Thu Nov 24, 2011 10:26 pm**

0^0 = 0^{1 - 1} = 0^1.0^-1 = 0.0 = 0

I can't get what and where is the mistake ...can anyone help me??

I can't get what and where is the mistake ...can anyone help me??

Posted: **Thu Nov 24, 2011 11:41 pm**

\[0^{-1}=\frac {1} {0}\]

we can not divide anything by $0$

we can not divide anything by $0$

Posted: **Fri Nov 25, 2011 7:32 am**

I expected this answer...now see, if

\[0^{-1}= \frac{1}{0}\]

then,

\[0 = 0^{1}=0^{2-1}=\frac{0^{2}}{0^{1}}=\frac{0}{0}

so, \frac{0}{0}=0

\]

but 0/0 is undefined..... I am looking for another perfect answer....

\[0^{-1}= \frac{1}{0}\]

then,

\[0 = 0^{1}=0^{2-1}=\frac{0^{2}}{0^{1}}=\frac{0}{0}

so, \frac{0}{0}=0

\]

but 0/0 is undefined..... I am looking for another perfect answer....

Posted: **Fri Nov 25, 2011 11:23 am**

negative powers of $0$ is undefined, as nafistiham already said.

Posted: **Fri Nov 25, 2011 10:00 pm**

make it clear to me.....which one is correct, \[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

\[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

\[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

Posted: **Sat Nov 26, 2011 12:28 am**

Both are wrong.Dipan wrote:make it clear to me.....which one is correct, \[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

\[0^{-1}=\frac{1}{0}or, 0^{-1}=0\]

Posted: **Sat Nov 26, 2011 12:44 am**

$0^{-1}$ is undefined. So, you can not write something equal to it.

Posted: **Sat Nov 26, 2011 7:28 am**

thanks Hasib and Mahi.....now this is clear to me......

Posted: **Sat Nov 26, 2011 6:41 pm**

আমার মনে হয় $0 ^ {-1}$ যে কেন undefined তার একটা বিশদ আলোচনা প্রতি ক্লাসে একটু একটু করে থাকা উচিত । কারন, কেউ ভাগ শিখার সাথে সাথেই এই সমস্যার সম্মুখীন হয় । অথচ তাকে পুরোপুরি না বুঝিয়ে মুখস্ত করতে বলা হয় । তার পরও না বুঝার কারনে আমরা কত সমীকরণ ভুলভাবে তৈরি করি, আর ভুলটা বদ্ধমূল হতে থাকে ।

Posted: **Sat Nov 26, 2011 8:12 pm**

by courtesy of Zafar Iqbal sir.

for details see page 12,13,14,15 of his book "Goniter moja,mojar gonit."

look,now, we want to find the value of 1/0.

1/1=+1;

1/0.1=+10,

1/0.01=+100,

1/0.001=+1000,

so,we can say,when it is 1/0=+${\infty}$

but,1/-1=-1;

1/-0.1=-10,

1/-0.01=-100,

1/-0.001=-1000,

so,we can say,when it is 1/0=-${\infty}$;;

but,what is this......we got 2 different result of 1/0 ;one is +${\infty}$ & another is -${\infty}$;;so,1/0 is undefined.

for details see page 12,13,14,15 of his book "Goniter moja,mojar gonit."

look,now, we want to find the value of 1/0.

1/1=+1;

1/0.1=+10,

1/0.01=+100,

1/0.001=+1000,

so,we can say,when it is 1/0=+${\infty}$

but,1/-1=-1;

1/-0.1=-10,

1/-0.01=-100,

1/-0.001=-1000,

so,we can say,when it is 1/0=-${\infty}$;;

but,what is this......we got 2 different result of 1/0 ;one is +${\infty}$ & another is -${\infty}$;;so,1/0 is undefined.