## Janu16 one year ago Rewrite in simplest radical form 1/x^-3/6. Please show each step.

1. Janu16

@DanJS

2. DanJS

is -3/6 the power, or is x divided by 6

3. Janu16

|dw:1438035063443:dw|

4. DanJS

right

5. Janu16

i drew it up there. can you see it?

6. DanJS

yes

7. Janu16

so i have to solve this and show steps

8. Janu16

actually simplify

9. DanJS

First, apply this property $\frac{ 1 }{ x^{-a} } = x^a$

10. DanJS

when you change sides of a fraction, change sign on power

11. Janu16

ya i know thaat you change signs but how do you write it

12. DanJS

|dw:1438035282173:dw|

13. DanJS

good

14. Janu16

than you simplify so you will have 1/2 right?

15. DanJS

yes

16. Janu16

so do you just put in radical form?

17. DanJS

then remember $\sqrt[n]{x} = x ^{1 / n}$ The nth root is the same as raised to the 1/n power

18. Janu16

so final answer will look like this?

19. Janu16

|dw:1438035516073:dw|

20. DanJS

yes, square root of x

21. DanJS

write down those two exponent properties..

22. Janu16

1 and 2?

23. DanJS

the two general equations i typed above

24. DanJS

that what you need to know

25. DanJS

There are a few more, but ill help if needed

26. Janu16

for the steps?

27. DanJS

$\sqrt[n]{x} = x ^{1 / n}$ $\frac{ 1 }{ x^{-a} } = x^a$

28. Janu16

|dw:1438035669537:dw| would this be all the steps?

29. DanJS

|dw:1438035799954:dw|

30. Janu16

how do you write taht x^1/2can you draw it

31. Janu16

|dw:1438035933462:dw|

32. DanJS

you have x to the 3/6 poer, just reduce the poer

33. DanJS

yep

34. DanJS

Here, scroll to the "Laws of Exponents" part , those are the general rules to get a feel for. http://www.mathsisfun.com/algebra/exponent-laws.html

35. Janu16

ohok thanks i will look at it

36. Janu16

37. DanJS

yes

38. Janu16

ok thanx