(Sorry for the wrong title!)(adsbygoogle = window.adsbygoogle || []).push({});

Let a>1 (a in R). Then how do you prove for all x in R, a^x > 0 ?

And also that a^y>1 for all y>0, how do you prove?

And also how do you prove that 0^b = 0 when b is a real number?

(For me this is so difficult. So please just help me. Enough hints will suffice, no full solution.)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to prove x^a >= 1?

**Physics Forums | Science Articles, Homework Help, Discussion**