## Spring98 one year ago What is the simplified expression for https://cv-kettle-falls.brainhoney.com/Resource/30603643,0/Assets/75122_53df8565/01_08_23.gif

1. Spring98

@satellite73

2. Spring98

@satellite73

3. anonymous

$\frac{3^4}{3^5}=\frac{1}{3^{5-4}}=\frac{1}{3}$ takes care of the threes

4. Spring98

5. anonymous

no that only takes care of the threes you still have to take care of the fours

6. anonymous

$\frac{4^{-3}\times 4^2}{4^{-2}}$is still there requires some bookkeeping with the exponents

7. anonymous

you can write this in one line as $4^{-3}\times 4^2\times 4^2$ then add up the exponents

8. Spring98

so is it 4^1

9. anonymous

yeah better know as $$4$$

10. anonymous

final answer $\huge \frac{4}{3}$

11. Spring98

thank you