## just_one_last_goodbye one year ago Hey guys need some help on this problem. Thanks ^_^

1. just_one_last_goodbye

Simplify $\sqrt{5} / \sqrt[3]{5}$

2. just_one_last_goodbye

Note Think it's a fraction or a division but they are suppose to be on top of eachother like a fraction.

3. welshfella

convert the radicals to exponents eg sqrt 5 = 5^1/2

4. just_one_last_goodbye

Ok so thats the exponent right?

5. welshfella

1/2 is the exponent

6. just_one_last_goodbye

Ok I see so whats next?

7. welshfella

can you convert |dw:1433182978890:dw|

8. welshfella

to exponent form ?

9. just_one_last_goodbye

give me a sec

10. just_one_last_goodbye

Im sorry im pretty bad at this

11. welshfella

the exponent will be a fraction

12. welshfella

square root goes to 1/2 cube root goes to 1/3 so its 5 ^ 1/3

13. welshfella

4th root = 1/4 etc

14. just_one_last_goodbye

I see

15. welshfella

so we have 5^1/2 / 5^1/3 do you know how the terms with exponents/

16. welshfella

* how to divide terms containing exponents

17. just_one_last_goodbye

You would subtract the exponents right?

18. welshfella

right

19. just_one_last_goodbye

so... 1/3 - 1/2

20. welshfella

no its 1/2 - 1/3

21. just_one_last_goodbye

which gets us 1/6 correct?

22. welshfella

right so our answer is 5^ 1/6 or if you want it as a radical its |dw:1433183702327:dw|

23. just_one_last_goodbye

Thank you so much ^-^

24. welshfella

yw

25. just_one_last_goodbye

26. welshfella

with fraction exponents the top of fraction is the power and bottom is the root |dw:1433183789032:dw|

27. just_one_last_goodbye

@welshfella can you check my answer?

28. just_one_last_goodbye

$\frac{ 3\sqrt{5} \sqrt{5}}{ 3\sqrt{5^5} }$

29. just_one_last_goodbye

I have to Evaluate that

30. just_one_last_goodbye

and I got $5\frac{ 3 }{ 2 }$

31. welshfella

|dw:1433184666878:dw|