## anonymous one year ago Simplify 9 to the 2nd over 9 to the 7th.

1. Nnesha

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2. Nnesha

$\huge\rm \frac{ 9^2 }{ 9^7 }$ when we divide same bases we should  subtract exponents $\huge\rm \frac{ x^m}{ x^n }=x^{m-n}$

3. anonymous

9^5

4. Nnesha

nope

5. anonymous

im not good at math

6. Nnesha

aww you will be an expert $\huge\rm \frac{ 9^2 }{ 9^7 }=9^{2\color{red}{-}7}$ it should be 2-7

7. anonymous

you lost me im sorry

8. Nnesha

we should subtract top exponent from the bottom exponent so it should be 2-7 and $2-7\cancel{=}5$ sign error!

9. anonymous

so it would be 9 to the 5th power right?

10. Nnesha

no 2-7 isn't equal to 5 remember when we subtract if bigger number is negative then answer would be negative !

11. Nnesha

2-3= -1

12. Nnesha

example^

13. anonymous

ohh yea im dumb

14. anonymous

it would be 9 to the -1

15. Nnesha

nope 2-7 = ???

16. anonymous

i mean -5

17. Nnesha

yes right now we need to convert negative to positive exponent so apply this exponent rule $\huge\rm x^{-m}=\frac{ 1 }{ x^m }$

18. Nnesha

so $9^{-5}= ?$

19. anonymous

1/9 to the -5th power omg thx you help alot can you syick around incace i need help again ;-)

20. Nnesha

when we flip the fraction sign would change

21. Nnesha

so 1/9 to the what power ?

22. anonymous

-5

23. Nnesha

nope look at this example $\huge\rm x^{-m}=\frac{ 1 }{ x^m }$ we don't want negative exponent that's the reason we should flip the fraction

24. Nnesha

so change the sign when you flip it

25. anonymous

im really confused

26. Nnesha

i'll give you an example $\large\rm 3^{-4}=\frac{ 1 }{ 3^4 }$

27. anonymous

ohhhhh 5

28. Nnesha

yes right!

29. anonymous

thz you

30. Nnesha

np :=)

31. anonymous

Which expression is equivalent to (5^3)^−2? can u help me with this one plzzzzz

32. Nnesha

$\huge\rm (x^m)^n=x^{m \times n}$ you just need to know exponents rules!

33. anonymous

5^-6

34. Nnesha

yes so what about negative e xponents ?

35. Nnesha

what would be ur next step ?

36. anonymous

5^6

37. anonymous

is that the anwser

38. Nnesha

nope

39. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @Nnesha nope look at this example $\huge\rm x^{-m}=\frac{ 1 }{ x^m }$ we don't want negative exponent that's the reason we should flip the fraction $$\color{blue}{\text{End of Quote}}$$

40. anonymous

this is frustrating idk how to do this

41. Nnesha

$5^{-6}$ is same as $9^{-5}$ so how did you changed 9^-5 to positive exponent

42. anonymous

would it be1/5^3 juss a ruf guess

43. Nnesha

remember 5 to the -6 power is same as $\huge\rm \frac{ 5^{-6} }{ 1}$ now flip the fraction and change the sign of the exponent

44. Nnesha

it's 5 to the -6 power not 3

45. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @copper224 would it be1/5^3 juss a ruf guess $$\color{blue}{\text{End of Quote}}$$ 5 to the what power ?

46. anonymous

6th im sorry if im frustrating you

47. anonymous

i juss suck at math

48. Nnesha

im fine :D

49. Nnesha

well you're in a learning process you will be good at it!

50. Nnesha

alright good luck! practice!!!

51. anonymous

In which expression should the exponents be multiplied? one fifth to the 2nd times one fifth to the 6th 9 to the 3rd over 9 to the 4th 73 ⋅ 78 (26)−5

52. anonymous

@nNesha