## anonymous one year ago More problems ugh! (Just 3)

1. anonymous

What is the value of the expression $\frac{ 3 }{ 3^{-2} }$

2. anonymous

@imasofty

3. Nnesha

$\huge\rm \frac{ x^m }{ x^{-n} }=x^{m+n}$ exponent rule

4. anonymous

????

5. anonymous

$\frac{1}{b^{-n}}=b^n$ therefore $\huge\frac{3}{3^{-2}}=3\times 3^2=3\times 3\times 3$

6. anonymous

so b.27

7. Nnesha

if there are same bases at the numerator and 't the denominator you should move the denominator exponent to the top |dw:1439563849463:dw|

8. anonymous

yes it is

9. anonymous

what @Nnesha said

10. anonymous

yay ty

11. anonymous

what you are supposed to be learning is that $\huge \frac{b^m}{b^n}=b^{m-n}$

12. anonymous

What value of k solves the equation? $k ^{-5}=\frac{ 1 }{ 32 }$

13. anonymous

so $\frac{3^1}{3^{-2}}=3^{1-(-2)}=3^3$

14. anonymous

i dont really think she understands the equations

15. anonymous

i get it now

16. anonymous

i am sure of it, but we can soldier on

17. anonymous

$k^{-5}=\frac{1}{k^5}=\frac{1}{32}\iff k^5=32$

18. anonymous

think of a number that when raised to the power of 5 gives 32

19. Nnesha

to much to think, you should write that too!

20. anonymous

6.4?

21. anonymous

no

22. anonymous

she is too focused on the answer

23. anonymous

$6.4^5$is way too big pick a smaller number hint: it is a whole number

24. anonymous

oh i get it hmm

25. anonymous

2

26. anonymous

bingo

27. anonymous

yay!

28. anonymous

could u help me with 1 more

29. anonymous

why not?

30. anonymous

nvm i got it ill still post to see if im right. What value of m solves the equation?$2^{m} = \frac{ 1 }{ 8 }$ 3

31. anonymous

close

32. anonymous

$2^3=8$ not $$\frac{1}{8}$$

33. anonymous

make the exponent negative

34. anonymous

no thats the problem my answer is 3

35. anonymous

yes i know, but 3 is not the right answer

36. anonymous

you don't want 8 you want 1/8, i.e. the "reciprocal" to get that, make the exponent negative

37. anonymous

-3

38. anonymous

yes

39. anonymous

say hi to christina perry for me

40. anonymous

huh

41. anonymous

"perri"

42. anonymous

i got an 80 i passed

43. anonymous

shoot for a 100 next time

44. anonymous

tysm

45. anonymous

@satellite73 make me an admin lol