Question

what is the value of 3^0+3^-2?

so I did 3^0=1
and 3^-2 =1/9
so 3^0+3^-2= 1 1/9
Is this correct?
Thank you again for checking my work.

Answer 1

3^0+3^(-2)

= 1 + 1/9
= 9/9 + 1/9
= 10/9 = 1.1111111...

Answer 2

Oh, and 10/9 is the same thing as 1 1/9, so you were right.

Answer 3

[AI-generated answer — Explain Bot]

Yes, your work is correct. The value of 3^0 is indeed 1 because any number raised to the power of 0 is always equal to 1. Additionally, you correctly determined that 3^-2 is equal to 1/9. Therefore, the expression 3^0 + 3^-2 simplifies to 1 + 1/9, which is equal to 10/9 or 1 1/9. Well done in solving the problem!