## Cutiepo0 4 years ago How to evaluate (3^-3+3^-4)/3^-5

1. anonymous

$\frac{3^{-3}+3^{-4}}{3^{-5}}$?

2. Cutiepo0

yes

3. anonymous

probably simplest to break it into two fractions $\frac{3^{-3}}{3^{-5}}+\frac{3^{-4}}{x^{-5}}$

4. polpak

Where x is 3.

5. Cutiepo0

oh, okay let me try breaking it up

6. Cutiepo0

So it's 12. Thanks!

7. anonymous

when you divide if the bases are the same you subtract the exponents. be careful when you subtract, because you are subtracting a Negative number. $\frac{3^{-3}}{3^{-5}}=3^{-3-(-5)}=3^{-3+5}=3^2$

8. polpak

12 is correct. Yes.

9. anonymous

yes it is 12. good work

10. anonymous

hello polpak!

11. anonymous

$\color{green}{\text{hello polpak}}$

12. polpak

Hello there.