What is 0 0 0^{0} ?

Number Theory Level 2

What is 0 0 0^{0} ?

0 i e π No answers 1

. . by . . , 14, South Korea

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2 solutions

0 0 = Undefined!! \Huge{0^0 = \text{ Undefined!!}}

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Undefined Factorial?? Something new :) r/unexpectedfactorial

Mahdi Raza - 10 months, 2 weeks ago

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Haha undefined double factorial now! :)

Vinayak Srivastava - 10 months, 2 weeks ago

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Haha, undefined double factorial now factorial? :)..

. . - 10 months, 1 week ago

That's funny. Factorial of undefined is more never undefined. undefined!!=Since undefined is not a number so no factorials.

. . - 10 months, 1 week ago
. .
Jul 21, 2020

2 3 = 8 2^{3} = 8 , 2 2 = 4 2^{2} = 4 , 2 1 = 2 2^{1} = 2 . So an exponent reduces regularly by 1 1 , the answer reduces by the base. But the 0 0 is not allowed. 0 2 = 0 0^{2}=0 , 0 1 = 0 0 0^{1}=\frac {0}{0} . Then 0 0 can't be a base. But 0 0 can be an exponent. If the base is 0 0 , there are no answers.

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