## anonymous one year ago What is the value of the expression shown below? 3 over 5 to the power of 2 + 4 × 3 − 2

1. anonymous

@DecentNabeel @Mertsj

2. DecentNabeel

2 + 4 × 3 − 2 2+12-2 14-2 =12 (3/5)^12 =

3. anonymous

4. anonymous

12?

5. DecentNabeel

$\left(\frac{3}{5}\right)^{12}=\frac{3^{12}}{5^{12}}\quad \left(\mathrm{Decimal:\quad }\:0.00218\right)$

6. anonymous

12 9/25?

7. DecentNabeel

this is new qustion..

8. anonymous

i mean whats the answer to the question

9. DecentNabeel

12*9/25 .. you need answer for this question

10. anonymous

whats the answer to the first question

11. DecentNabeel

what is the question .. tell me again

12. anonymous

3 over 5 to the power of 2 + 4 × 3 − 2

13. DecentNabeel

first solve this one.. 2 + 4 × 3 − 2

14. anonymous

12

15. DecentNabeel

gud then 3/5 to the power of 12 then solve

16. DecentNabeel

mean.. 12^(3/5) ok

17. anonymous

9.6?

18. anonymous

19. DecentNabeel

$12^{\frac{3}{5}}=4.44129$ that is the answer

20. anonymous

actually no these are the choices.... 10 and 9 over 25 11 and 2 over 25 12 and 9 over 25 13 and 2 over 25

21. anonymous

I need the answer to the whole question.. i dont have time t6o solve it out.

22. anonymous

*to

23. UsukiDoll

Due to OpenStudy's Code of Conduct, we can't give out direct answers. We can only guide the user through the process of solving their question.

24. anonymous

ik but solving it is making me even more confused ik the rules

25. UsukiDoll

But I got to ask... where did you guys get the exponent 12 from when the original question is 3 over 5 to the power of 2 + 4 × 3 − 2 ???

26. UsukiDoll

wouldn't the problem be something like this? $(\frac{3}{5})^2+4 \times 3 - 2$

27. UsukiDoll

I do apologize the latex isn't working correctly... |dw:1436833508036:dw| is that your question @KAKES1967

28. anonymous

yes

29. UsukiDoll

ok so this is order of operations. We need to do parenthesis, exponent, multiply, divide, add, and subtract so we do have parenthesis and exponent to deal with first.

30. UsukiDoll

so that exponent number 2 means that we write the fraction 3/5 twice |dw:1436833605156:dw| try solve that part first

31. anonymous

so 1.2

32. UsukiDoll

umm it's best to work with fractions...decimals can be a pain sometimes

33. UsukiDoll

what's 3 x 3 what's 5 x 5

34. UsukiDoll

|dw:1436833698945:dw| we're trying to solve this part first because we have paraenthesis and exponents

35. anonymous

9 and 25

36. UsukiDoll

cool! |dw:1436833730367:dw|

37. UsukiDoll

so we got PE out of the way... MDAS is still lurking ... oh I see multiplication what's 4 x 3 ?

38. anonymous

9/25 plus 12-2

39. anonymous

right?

40. UsukiDoll

yes |dw:1436833808152:dw| since there is no division, we skip it. Now we do addition. Note: we solve these problems from left to right (left that out by accident sorry ^_^)

41. anonymous

2.36?

42. UsukiDoll

so .. ouch we have to do 9/25 +12 but the denominators aren't the same so we need to do the LCD/GCF well your attempt was close... let's go over this part together.

43. anonymous

oh i thought it was 2 sorry

44. anonymous

12.36

45. UsukiDoll

so we need to multiply 25/25 to the 12. |dw:1436833931892:dw| WOW! that's correct for that part.

46. UsukiDoll

but for the sake of simplicity since we need a mixed fraction at the end, let's keep this in fraction form. |dw:1436833972612:dw|

47. UsukiDoll

now we need to do the GCF all over again and it's just 25 so we multiply 25/25 for that 2 |dw:1436834026409:dw|

48. UsukiDoll

so what's 2 x 25?

49. anonymous

50

50. UsukiDoll

mhm! |dw:1436834081913:dw| now 309-50

51. anonymous

259

52. UsukiDoll

yes so we have |dw:1436834124013:dw| so we have an improper fraction, we need a mix fraction since your choices want it in that format.

53. UsukiDoll

ok... we just need to use division like this |dw:1436834175546:dw|

54. UsukiDoll

so how many times can 25 go into 25 ? or in other words what's 25 divided by 25 25/25 = ?

55. anonymous

1

56. UsukiDoll

|dw:1436834232064:dw| yes and since 25 can't go into 9 we are done We just have to write this as a mixed fraction

57. UsukiDoll

|dw:1436834264657:dw|

58. anonymous

10 9/25

59. UsukiDoll

so the 10 on the top is written first followed by the 9 on the numerator and 25 on the denominator we should have 10 9/25 yes!

60. anonymous

XD thank you soooo much. Your just wonderful thanks for helping me understand. (:

61. UsukiDoll

you're welcome :)