## anonymous 3 years ago Simplest form help ?

1. hba

@angelwings996 Um,Where is the question ?

2. anonymous

Sorry, Im trying to put it into the equation

3. hba

I gotta go sleep. Someone will be here to help you soon :)

4. anonymous

$\frac{ \sqrt[3]{x ^{3}} }{ \sqrt[5]{x ^{2}} }$

5. anonymous

This is the equation I need to put in simplest form

6. anonymous

have no fear amparo is here LOL

7. anonymous

Haha Okaay

8. hba

$[\huge\ \frac{ \sqrt[3]{x ^{3}} }{ \sqrt[5]{x ^{2}} }] =(x^3)^{1/3}/(x^2)^{1/5}$

9. anonymous

@angelwings996 , when meeting stuff like this, put the number at LEFT of the square root sign as DENOMINATOR

10. anonymous

so $\sqrt[3]{x^3} = x^\frac{3}{3}$

11. anonymous

$\sqrt[3]{x^2}=x^\frac{2}{3}$

12. anonymous

Wouldn't it be 5 instead of 3 for the second one ?

13. anonymous

$\sqrt[100]{x^7}=x^\frac{7}{100}$

14. anonymous

15. anonymous

How did you get 100 and 7 ?

16. anonymous

or is it an example ?

17. anonymous

that's just an example to show the use of the trick

18. anonymous

Okay, so what would I do now ?

19. anonymous

if they numbers have the same base, u do: exponent on top - exponent below

20. hba

$\sqrt{x}=x^{1/2}$ $\sqrt[3]{x}=x^{1/3}$ similarly $x^a=x^{1/a}$

21. anonymous

so it's 3/3-2/5 = 3/5 answer should be x^(3/5)

22. anonymous

Oh I see!

23. anonymous

Thank you so much for your guys' help (:

24. anonymous

Np :)