Question

Identify the mistake in this "proof": (1 point)
\[\Large\begin{array}{rcl&r}
0&=&0^1&\mbox{step 1}\\
&=&0^{2-1}&\mbox{step 2}\\
&=&\frac{0^2}{0^1}&\mbox{step 3}\\
&=&\frac00&\mbox{step 4}\\
&=&\text{undefined}&\mbox{step 5}
\end{array}\\
\therefore\mbox{0 is undefined.}\]

Answer 1

hmm... i asked a question simiar to this I've asked before I think I can help you

Answer 2

@Rancd @HELP-ME-PLZ

Answer 3

lolz using tags to write a msg

Answer 4

The 2 part is wrong though but I need to prove why

Answer 5

I know why

Answer 6

Thats not how you prove you need to multiply not divde

For let's say x is a number any numbe ror value
x * 0 = 0/0 * 0

Answer 7

Hence x can be any number that can go into 0 but how do we prove if its undefined

Answer 8

step 1 and 2 are true and have real solutions, step three has no solution and is extraneous

Answer 9

but what is wrong with the transition from step 2 to step 3?

Answer 10

because the two are not the same, you can't divide by 0

Answer 11

I'm asking why are those 2 not the same

Answer 12

Which rule has it violated to change from step 2 to step 3

Answer 13

1 =2

Answer 14

because in the case that you are using it, it is undefined.
0^2 is the same as 0 times 0 and it = 0. it is like you are trying to divide 0^2 by 0 to prove it, and you can't do that.

Answer 15

This is the answer:

Step 3 is invalid, as the identity \(\Large a^{m-n}=\frac{a^m}{a^n}\) is only valid IF a is not 0, and m>n>0.

*sigh* you guys...

Answer 16

what do you do this to us ?

Answer 17

Give us another question ?

Answer 18

I created this question xpp

Answer 19

oh, you wanted the technical answer, well sheesh

Answer 20

I DEMAND another one por favoe !!

Answer 21

uh, i need to think...

Answer 22

so hard to think

Answer 23

Never I'm getting revenge instead

Answer 24

https://brilliant.org/mathematics-problem/looking-for-integers/?group=EcAAcZbU1fIj Solve this you've got 5 minutes

Answer 25

Bye Ciao

Answer 26

wow so easy, took me 2 trials

Answer 27

You saw a shirt for $97

You didn't have the money so you borrowed $50 from your mom and $50 from your dad.

$50 + $50 = $100
You bought the shirt and had $3 change.

You gave yor dad $1 and your mom $1 and kept the other $1 to yourself.

Now you owe your mom $49 and your dad $49.

$49 + $49 = $98 + your $1 = $99

Where is the missing $1 ?

Answer 28

It makes no sense adding the money you owe your mom and your dad and the money you currently have together

Answer 29

I have to go now, see you guys, have a happy new year

Answer 30

Happy new year In 5 days I will create a question even you can't solve