## angelwings996 3 years ago Simplest form help ?

1. hba

@angelwings996 Um,Where is the question ?

2. angelwings996

Sorry, Im trying to put it into the equation

3. hba

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

4. angelwings996

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

5. angelwings996

This is the equation I need to put in simplest form

6. blondie16

have no fear amparo is here LOL

7. angelwings996

Haha Okaay

8. hba

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

9. artofspeed

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

10. artofspeed

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

11. artofspeed

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

12. angelwings996

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

13. artofspeed

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

14. artofspeed

in your question, yes

15. angelwings996

How did you get 100 and 7 ?

16. angelwings996

or is it an example ?

17. artofspeed

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

18. angelwings996

Okay, so what would I do now ?

19. artofspeed

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. artofspeed

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

22. angelwings996

Oh I see!

23. angelwings996

Thank you so much for your guys' help (:

24. artofspeed

Np :)