## anonymous one year ago Rewrite in simplest radical form 1 x −3 6 . Show each step of your process.

1. DecentNabeel

$\frac{\frac{1}{x}}{6^{-3}}=\frac{216}{x}$

2. DecentNabeel

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$ $6^{-3}=\frac{1}{6^3}$ $=\frac{\frac{1}{x}}{\frac{1}{6^3}}$ $\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}$ $=\frac{6^3}{x}$

3. DecentNabeel

are you understand @boots_2000

4. anonymous

nope

5. anonymous

not at all

6. anonymous

1 over x raised 3 over 6 thats what the question was supposed to be

7. Nnesha

$\huge\rm \frac{ 1 }{ x^\frac{ 3 }{ 6 } }$ like this ?

8. anonymous

yes

9. Nnesha

alright you can reduce the fraction 3/6 =?

10. anonymous

1/2

11. Nnesha

yep right now you can change 1/2 root to radical $\huge\rm x^\frac{ m }{ n } = \sqrt[n]{x^m}$

12. anonymous

so my answer would be square root x of 1?

13. Nnesha

nope

14. Nnesha

$\huge\rm x^\frac{ 1 }{ 2}=???$ let m = 1 and n =2 look at the exapmle i gave you

15. Nnesha

example*

16. Nnesha

yesright

17. Nnesha

sorry i didn't see word square so now you are not allowed to have radical at the denominator

18. DecentNabeel

$\frac{1}{x^{\frac{3}{6}}}=\frac{1}{\sqrt{x}}$ $\mathrm{Simplify}\:\frac{3}{6}:\quad \frac{1}{2}$ =1/x^(1/2) $=\frac{1}{\sqrt{x}}$

19. anonymous

$\sqrt[2]{x ^{1}}$

20. Nnesha

$\huge\rm \frac{ 1 }{ \sqrt{x}}$ multiply both the denominator and numerator by square root of x

21. Nnesha

don't forget the 1 at the numerator that stay there

22. Nnesha

$\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }$

23. anonymous

$1\div \sqrt[2]{x ^{1}}$

24. anonymous

like that?

25. Nnesha

yes right now multiply both the top and bottom by the denominator (sqrt{{x}) = answer

26. anonymous

$-\sqrt[2]{x ^{1}}$

27. Nnesha

nope how did you get negative sign or is it typo ? ;)

28. anonymous

typo

29. Nnesha

btw radical sign mean square root so you don't have to write 2 .....

30. anonymous

sorry

31. Nnesha

$\sqrt{ }$ <-- square root

32. Nnesha

$\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }$ multiply denominator by denominator and numerator y numerator

33. anonymous

so the answer is without the negative sign???

34. anonymous

so its just the suare root of x that we just put but withour the negative???

35. Nnesha

well there isn't any negative sign in the original question so it's pretty obvious :=) o^_^o

36. Nnesha

nope multiply

37. Nnesha

$\huge\rm \frac{ 1 }{ \sqrt{x} } \times \frac{ \sqrt{x} }{ \sqrt{x} }$ $\frac{ 1 \times \sqrt{x} }{ \sqrt{x} \times \sqrt{x}}$

38. anonymous

okay well im lost so imma just guess or not answer it

39. Nnesha

as you wish.. just one last step MULTIPLCATION! that's it done!