anonymous one year ago Help! Will medal and fan!

1. anonymous

Rewrite in simplest radical form Show each step of your process.

2. anonymous

$\frac{ 1 }{ x ^{\frac{ -3 }{ 6 }}}$

3. anonymous

Help. I think for the first step I'd have to divide by the reciprocal to get rid of the negative?

4. anonymous

mew

5. anonymous

Yes that would be the first step.

6. anonymous

Okay so I have that part, where do I go next? .-.

7. anonymous

are you doing this on a graph or?

8. anonymous

A graph? No...

9. anonymous

just paper?

10. anonymous

Okay i understand now. First, you can reduce 3/6

11. anonymous

1/2

12. anonymous

but it is -1/2 because of the negative 3

13. anonymous

|dw:1443027853377:dw|

14. anonymous

Do you know how to deal with a negative exponent?

15. anonymous

Okay you seriously just confused me, can you walk me through each one of those steps... I'm still at the beginning.

16. anonymous

signs okay do you have to write it all out or can i just give you the answer?

17. anonymous

$\frac{ 1 }{ x ^{\frac{ -1 }{ 2 }} }$ After reducing this is where we're at correct?

18. anonymous

correct

19. anonymous

No, I need to write it all out, to get to simplest radical form.

20. anonymous

Just like the rule above of negative exponents works, this one also works: 1a−n=an A negative exponent in the denominator, is a positive exponent in the numerator.

21. anonymous

Notice we have a similar thing to this last rule. We have a fraction with 1 over. Then in the denominator we have x to a negative exponent. It changes into just x to the positive exponent in the numerator, and the denominator disappears.

22. anonymous

So wait it's just $\frac{ 1 }{ x ^{1} }$

23. anonymous

?

24. anonymous

ok look

25. anonymous

|dw:1443028199288:dw|

26. anonymous

27. anonymous

Oh okay, I see now. You confused me by saying that the denominator disappears.

28. anonymous

sorry

29. anonymous

I thought you meant in the exponent.

30. anonymous

lol no ill try to be more clear next time :)

31. anonymous

Erm is there a certain name for that rule up above? My teacher will want to know that.

32. anonymous

I mean no not really, Im pretty sure if you just leave it as it she will understand no rule :)

33. anonymous

Okay, Thanks. :)

34. anonymous

no problem ^.^

35. anonymous

a−n=1an a1n=a√n i was looking at this yesturday and realized these are your rules