Write 1/9 as a power of 3

[desmondo]

I must be missing something obvious ... I can get a and b easily but not the last, 1 over 9. Question is:

1. Write following as powers of 3:
   1. 27
   2. 1
   3. 1

      ---

      9

 

[desmondo]

Doh! I think I just spotted my own error

a. 27 = 3³

b. 1 = 3⁰

c. 1/9 = 3^​-2


Is that right? Cheers

 

[Harry_the_cat]

Doh! I think I just spotted my own error

a. 27 = 3³

b. 1 = 3⁰

c. 1/9 = 3^​-2


Is that right? Cheers

Yes indeed!

 

[Tstar3030]

Can you pls explain how to solve c. I came across a similar question and am confused

 

[Dr.Peterson]

Can you pls explain how to solve c. I came across a similar question and am confused

The answer is given there; are you asking for an explanation of how to obtain it?

Assuming you can write 9 as 3^2, you just need to know that 1/a^n = a^{-n}. Are you familiar with that?

If this isn't enough help, please be specific about your own problem, what you have tried, and where you are confused.