## anonymous one year ago Rewrite in simplest radical form 1/x^-3/6.

1. anonymous

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

2. welshfella

Hint: 1 / a^-2 = a^2

3. anonymous

So, x^3/6? Do you just make it positive?

4. welshfella

yes that is correct now simplify 3/6

5. welshfella

3/6 = ?

6. anonymous

How do you simplify that? ?/3?

7. welshfella

3/6 = 1/2

8. anonymous

May you explain how you did that, for me.

9. welshfella

its just making the fraction simpler by dividing top and bottom by a common factor The common factor in this case is 3. so |dw:1442936965530:dw|

10. anonymous

Oh okay.

11. welshfella

so now we have x^(1/2) - what is that in radical form?

12. anonymous

Would it be x^1/2?

13. welshfella

no that is in exponent form The 1/2 is the exponent. I wrote it in brackets but you dont have to.

14. welshfella

a radical is a square root , cube root etc

15. welshfella

|dw:1442937241797:dw|

16. anonymous

$\sqrt{x \frac{ 1 }{ 2 }}$ ?

17. welshfella

now with a square root you dont usually write the 2 |dw:1442937378285:dw|

18. welshfella

|dw:1442937441996:dw|

19. anonymous

So the 1/2 just disappears? Sorry for all these dumb questions I just don't understand this.

20. welshfella

yes

21. welshfella

|dw:1442937593827:dw|

22. welshfella

so in this case ur answer is |dw:1442937659225:dw|

23. welshfella

you can put the 2 before the root sign if you care to but its not necessary. The 2 is understood.

24. welshfella

follow?

25. anonymous

Yeah

26. anonymous

Thank you for helping me understand this better :)

27. welshfella

If the numerator is greater that 1 then that is a power so |dw:1442937832202:dw|

28. welshfella

yw