what is the value of 0 raise to power 0?

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?
This video dwells in the fact and gives you the mathematical reason behind the answer to the question of what is 0 to the 0 power? Watch the video till end and yes do share it with your friends. Keep Learning!

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[justabunga]

0^0 is undefined and is an indeterminate form. If we look at it this way, we know that 0 raised to any positive number is always equal to 0, but 0 raised to any negative number is undefined. However, any non-zero number raised to the power of 0 is always equal to 1. To determine what 0^0 is, we can't have two values at the same time. Also, if we look at 0^0 using properties of exponents as 0^(4-4)=0^4/0^4=0/0. Therefore, 0/0 is undefined and is an indeterminate form also.

[yatharthmahoar]

Speed math,
Thanks for uploading it sir
It helped a lot and cleared my doubts regarding this topic
Thanks

[rishichavan]

This question was just aroused in my mind yesterday..! Thanks for uploading this Sir!

[saburousaitoh]

0^0= 1 and 0; two values.
Please look the paper:


International Conference on Differential & Difference Equations and Applications
ICDDEA 2017: Differential and Difference Equations with Applications pp 293-305 | Cite as

log0=log∞=0 and Applications
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[umeshjaiswal]

I have understand hole the theory in last of video