How is it constant?

Algebra Level 1

What is the value of x 0 x^0 for non-zero x x ?


The answer is 1.

Timur Atakulu by Timur Atakulu , 64, Turkey

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3 solutions

Mohammad Farhat
Aug 20, 2018

x 2 x^2 = x 2 ∗ 1 x^2 *1

x 1 x^1 = x 1 ∗ 1 x^1 *1

x 0 x^0 =1

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
Jun 29, 2016

x 0 = 1 , x ≠ 0 x^0 = \color{#3D99F6}{\boxed{1}} , x \neq 0 .

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Aashish Chaudhary
Mar 29, 2016

If, Power of an non zero number is 0, then it will equal to 1.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

An easy proof for the rule x^0=1 is usingthe rules of dividing exponents. Take: (x^3)/(x^3) = 1 Of course, any number divided by itself equals one. Using exponent rules, it becomes: x^(3-3) = 1 x^0 = 1

Emanuel Dicker - 5 years, 1 month ago

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