Homework Check: Proving Equations using Exponent Rules

[Deleted member 4993]

Yes but definition doesn’t say a^x x can’t be zero it says that m and n are element of z positive and m can be equal n

What is that ?

 

[JeffM]

Yes but definition doesn’t say a^x x can’t be zero it says that m and n are element of z positive and m can be equal n

The definition does say that x cannot be zero. It specifically says that, for the definition in question to apply, the exponent must be a positive integer.

 

[Otis]

I think 2a can be proved rigorously

In both 1 and 2a, the author provides no statement about the base. How can that be rigorous?

In both 2c and 2d, the author states that the base cannot be zero. Why is that?