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

1. satellite73

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

2. Cutiepo0

yes

3. satellite73

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. satellite73

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. satellite73

yes it is 12. good work

10. satellite73

hello polpak!

11. satellite73

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

12. polpak

Hello there.