What is Zero Exponent Theorem?Definition and Examples

The zero exponent theorem states the following: If b is any nonzero real number, then b⁰ = 1

In other words, any real number raised to zero power is equal to 1.

Examples

8⁰ = 1

14⁰ = 1

15789952114122659⁰ = 1

(-5)⁰ = 1

(-3/4)⁰ = 1

The theorem can also apply to algebraic or numerical expressions.
Any numerical expression,or algebraic expression raised to the power of zero is equal to 1.

Examples

( x2 + 2x + -4 )⁰ = 1

[ ln(x + 2) ]⁰ = 1

[ (x + 4) / (2x - 6) ]⁰ = 1

-6⁰ is not equal to 1. It is equal to -6

However, (-6)⁰ is equal to 1