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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.)

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# Homework Help: How to prove x^a >= 1?

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