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Algebra Level 3

If x x is any real number, then x 0 = ? x^0 = ?

x 0 1 Can't be determined

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1 solution

Dev Sharma
Oct 1, 2015

If x x is any non-zero real number then x 0 = 1 x^0 = 1 .

But, the question is for any real, so when x = 0 then x 0 x^0 is undefined. So answer is Can't be determined.

Just to expand on this a bit more:

Sal Khan explains why 0 0 0^0 is undefined quite well: https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/powers-of-zero

Jonathan Quarrie - 4 years ago

1 pending report

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