## anonymous one year ago What is the value of the expression shown below? 3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4

1. UsukiDoll

@Teddyiswatshecallsme we shall work together! LO!L

2. anonymous

Lol (:

3. UsukiDoll

|dw:1436835626870:dw| does your question look like this?

4. anonymous

yeppy

5. UsukiDoll

ok.. we need PEMDAS again XD

6. UsukiDoll

so working with the () we hve (2+8)^2 and that fraction (1/2)^4 so we need to solve 2+8 which is?

7. anonymous

10

8. UsukiDoll

ok.. so writing 1/2 4 times we should have something like |dw:1436835758512:dw|

9. UsukiDoll

let's split it up first .. what's 1/2 x 1/2 ?

10. anonymous

1 whole

11. UsukiDoll

it's like 1 x 1 / 2 x 2 multiplication

12. UsukiDoll

|dw:1436835823056:dw|

13. anonymous

wait no lol sorry thinking adding 1/4

14. UsukiDoll

|dw:1436835880405:dw| ok.. what's 1/4 x 1/4

15. anonymous

1/8

16. UsukiDoll

O_O

17. anonymous

1/16

18. UsukiDoll

if we are really adding if there is the same denominator we don't add the denominator.. just the numerator. we are multiplying yes that's better. x)

19. anonymous

im so bad at fractions sorry

20. UsukiDoll

|dw:1436836012715:dw|

21. UsukiDoll

so now we still have an exponent to deal with .. what's (10)^2 or 10 x 10 ?

22. anonymous

100

23. UsukiDoll

|dw:1436836085785:dw|

24. UsukiDoll

now we got PE out of the way we got MDAS look like 4 x 1/16 would be next

25. anonymous

1/4

26. UsukiDoll

yes 1/4

27. UsukiDoll

|dw:1436836250381:dw| now divison.

28. anonymous

400

29. anonymous

i think

30. UsukiDoll

hmm if it's 100 divided by 1/4 that's |dw:1436836368659:dw|

31. UsukiDoll

32. anonymous

403

33. UsukiDoll

yeah...the problem is I'm not that confident.. I think there was a slip or something.. I need to recheck a portion...

34. UsukiDoll

|dw:1436836507654:dw|

35. UsukiDoll

so based on PEMDAS... 4 x 1/16 should happen which is 1/4

36. UsukiDoll

|dw:1436836533879:dw| then division which is supposed to be 100 divided by 1/4

37. UsukiDoll

|dw:1436836591711:dw| hmm I got that answer again...

38. anonymous

3 + (2 + 8)2 ÷ 4 × 1 over 2 to the power of 4 4 and 1 over 32 4 and 9 over 16 6 and 1 over 8 6 and 1 over 32

39. UsukiDoll

wow a mistake happened.. I thought so..

40. UsukiDoll

k.. it had something to do with |dw:1436836857593:dw|

41. UsukiDoll

|dw:1436836894086:dw|

42. anonymous

1 9/16

43. anonymous

for 100 over 4 times 1/16

44. anonymous

so the answer is 4 9/16

45. UsukiDoll

yeah that division sign needed to be rewritten differently.

46. UsukiDoll

yeah it is 4 9/16

47. UsukiDoll

|dw:1436837077837:dw|

48. UsukiDoll

|dw:1436837113712:dw|

49. UsukiDoll

|dw:1436837127923:dw|

50. anonymous

Thank you for helping and catching the mistake.

51. UsukiDoll

|dw:1436837143519:dw|

52. UsukiDoll

you're welcome it was the division symbol that threw me off badly. We were doing the right arithmetic after all.

53. UsukiDoll

|dw:1436837245936:dw| that threw me off X(