Question

I'm confused

Answer 1

What does 0 to the power of 0 equal

Answer 2

0

Answer 3

0

Answer 4

0

Answer 5

there is no NUMBER plus anything x by 0 is0 i deserve the medal i explained it

Answer 6

lol well played @DERRICKCURRY

Answer 7

I meant \[0^{0}\]

Answer 8

thx @Kawaii!!!2026

Answer 9

yea 0

Answer 10

@DERRICKCURRY I gave you my choice of best answer :P

Answer 11

Oh, ok

Answer 12

thx

Answer 13

0^{x} = 0^{1+x-1} = 0^{1} \times 0^{x-1} = 0 \times 0^{x-1}= 0
That's how u explain it :D

Answer 14

ok @Kawaii!!!2026 i got u

Answer 15

lol he acyually explained it better than meh

Answer 16

100%

Answer 17

man yea 100% dificult i did it the easy way to be honest

Answer 18

@DERRICKCURRY thx

Answer 19

np

Answer 20

jf the answer can be 1 or 0

Answer 21

HI

Answer 22

@Kawaii!!!2026 which one is it, though

Answer 23

It is commonly taught that any number to the zero power is 1, and zero to any power is 0. But if that is the case, what is zero to the zero power?

Well, it is undefined (since xy as a function of 2 variables is not continuous at the origin).

But if it could be defined, what "should" it be? 0 or 1?

Answer 24

I seriously don't know. My teacher says it's undefined, while other people say it's 1

Answer 25

Confused about what? \(0^{0}\) might result in "NaN", or something else that isn't a number. I believe you will find this to be the case in most programming languages. However, some give "1". You need to know what your language does or you will have programming anomalies.

"Undefined" is a tough term. The word "Indeterminate" might be more appropriate in many situations.

However, sometimes it is important to extend definitions for consistency. This might make \(0^{0} = 1\).

Arguments involving limits are more difficult, since \((Actual\;0)^{(Actual\;0)}\) is not ever achieved. It's a LIMIT. There is no "AT". There is, however, a reliable value as you approach this situation.

How often do you actually encounter \(0^{0}\)? It's not likely to be too often. I wouldn't worry about it too much.

Answer 26

@tkhunny thx