Does (1/2)^0 equal 1?

Question

I think this is what we learned... but why?

Answer 1

(1/2)¹ = 1/2      (1/2)^-1 = 1/(1/2) = 2

 

 

Using a property of exponents, we have (1/2)¹(1/2)^-1 = (1/2)^1+(-1) = (1/2)⁰

 

But, (1/2)¹(1/2)^-1 = (1/2)(2) = 1

 

So, (1/2)⁰ = 1