## Tabbiejack 2 years ago what is the simplified form of the expression (b/7)^2

1. Tabbiejack

|dw:1369532637410:dw|

2. Tabbiejack

@satellite73 I need help

3. Tabbiejack

4. Tabbiejack

The choices are|dw:1369532959983:dw|

5. JBrandonS

$(\frac{b}{7})^2 = \frac{b^2}{7^2} = \frac{b^2}{49}$

6. galacticwavesXX

B

7. galacticwavesXX

just square top and bottom on similar questions

8. Tabbiejack

Thanks so much I have 2 other questions if you guys don't mind

9. Tabbiejack

|dw:1369533436214:dw|

10. JBrandonS

Pull out the coefficients and use $x^ax^b=x^{a+b}$

11. Tabbiejack

I don't know this at all I am a parent trying to give my 2 children some math for the summer so I am asking for the help because I have not done algebra in 25 years

12. JBrandonS

Okay, well do you know what coefficients are?

13. Tabbiejack

yes

14. JBrandonS

Okay well then move those out so you get $2*3x^6x^{1/2}$ and use the above formula.

15. galacticwavesXX

the coefficients are the numbers in front of the variable whenever you are multiplying variables with powers you always must add the powers together

16. galacticwavesXX

what will the final answer be?

17. Tabbiejack

6x^3

18. Tabbiejack

$6x ^{3}$

19. JBrandonS

You need to add the powers, not multiply. so $6x^{6+1/2}$

20. Tabbiejack

ok so what is the answer

21. Tabbiejack

I will give you the choices

22. galacticwavesXX

the answer would be$6x^\frac{ 13 }{ 2 }$

23. JBrandonS

I have given you the answer, there is only one thing you need to do... Do you know how to add fractions with whole numbers?

24. galacticwavesXX

that is 6x^13/2

25. Tabbiejack

so its $5x \frac{ 13 }{2 }$

26. Tabbiejack

Guys I feel so old doing this

27. galacticwavesXX

all you need to do is add the powers which is 6+.5 and you get 6.5 which is 13/2 in fraction form so final answer would be 6x^13/2

28. Tabbiejack

the dean at my children school said they were cheating so I have to give this these math test so that can get ready to take the big test to passed algebra

29. Tabbiejack

this really means the world to me all the help from you guys

30. Tabbiejack

I have another if your up for it!

31. galacticwavesXX

bring it on

32. Tabbiejack

|dw:1369534461113:dw|

33. galacticwavesXX

on the top part is that C^9

34. Tabbiejack

yes

35. Tabbiejack

|dw:1369534620249:dw|

36. galacticwavesXX

ok so this expression can be re-written as $\frac{ x^9 }{ d^7 }/\frac{ x^14 }{ d^10 }$ which can be written as $\frac{ x^9 }{ d^7 }*\frac{ d^10 }{ x^14 }$ the equation software on here is complexed but that is d^10 and x^-14

37. Tabbiejack

that is not a choice

38. galacticwavesXX

now what we can do is simplify the expression easier this way and we do this by subtracting the powers of the variable x and subtract the powers of the variable d not finished yet

39. Tabbiejack

o sorry

40. galacticwavesXX

$\frac{ x^9 }{ x^14 }=\frac{ 1 }{ x^5 }$ andthe other one whic you get $\frac{ d^10 }{ d^7 }=d^3$ combine and you get $\frac{ d^3 }{ c^5 }$ sorry the x should have been a C

41. galacticwavesXX

if you can't see that it is d^3/c^5

42. Tabbiejack

This one I tried but I got it wrong is it B

43. Tabbiejack

are you guys still with me?

44. galacticwavesXX

yea my mom called for something but im back

45. Tabbiejack

Write the recursive formula for the geometric sequence. a1 = -2 a2 = 8 a3 = -32 A. an = -4 + an-1 B. an = -2 + an-1 C. an = -2 • an-1 D. an = -4 • an-1

46. Tabbiejack

do you want me to open this up in a new question so I can give you an award

47. galacticwavesXX

no im ok but i am looking at the sequences and none of them can i derive from the formulas given

48. galacticwavesXX

ohh never mind i got it the answer should be D

49. Tabbiejack

You rock

50. Tabbiejack

I am going to open up another question I want to give you an award for helping me

51. galacticwavesXX

haha thank you