swiftskier96 Help!?!?!?!?!? 19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x) one year ago one year ago

1. swiftskier96

19. Divide and simplify if possible. Show your work. sqrt(250^16) ----------- sqrt(2x)

2. swiftskier96

$\frac{ \sqrt{250^{16}} }{ \sqrt{2x} }$

3. cherio12

|dw:1355412399796:dw|

4. swiftskier96

Is that it?

5. cherio12

6. swiftskier96

Well the question did say divide and simplity if possible. So im not exactly sure how to do that.

7. cherio12

to get rid of a radical in the denominator you can multiply the whole thing by something equal to 1. for instance $\frac{ \sqrt{2x} }{ \sqrt{2x} }=1$

8. swiftskier96

So it would be? $\frac{ \sqrt{250^{16}} }{ 1 }$

9. swiftskier96

Wait.

10. swiftskier96

$\sqrt{250^{16}}$

11. cherio12

$\frac{ \sqrt{250^(16)} }{ \sqrt{2x}}*\frac{ \sqrt{2x} }{ \sqrt{2x} }$

12. cherio12

$\frac{ \sqrt{250^(16)*2x} }{2x }$

13. swiftskier96

What do i do after that?

14. cherio12

$\sqrt{250^{16}*2x}=(250^{16}*2x)^{\frac{ 1 }{ 2 }}$

15. swiftskier96

So is that the final answer?

16. cherio12

what do you know about exponents

17. swiftskier96

18. cherio12

if you have something like $(x^4)^3$ what does that equal?

19. swiftskier96

Dont you add those together? Or am i mistaken?

20. cherio12

you actually multiply them, you would add if it were x^4+x^3=x^7 but (x^4)^3=x^12

21. swiftskier96

Right. Sorry, i get those mixed up. Lol. What now?

22. cherio12

okay so you have (250^(16)*2x)^(1/2) this is the exponent thing we just went over

23. swiftskier96

So you're saying that you multiply 16 and 1/2?

24. cherio12

yup

25. swiftskier96

That = 8.

26. cherio12

yes, so you get $\frac{ \sqrt{250^8*2x} }{ }$ I believe that is as simp

27. cherio12

as simple as you can get it*..its over sqrt(2x)

28. cherio12

$\frac{ \sqrt{250^8*2x} }{ \sqrt{2x}}$

29. swiftskier96

Ok cool! Thanks so much!!! :)

30. swiftskier96

Oh my gosh... I am so stupid... Theres an x in 250. It looks like sqrt(250x^16)... Im so stupid...

31. swiftskier96