1. anonymous

$\frac{ 1 }{ \sqrt[4]{72x^2y^5} }$

2. anonymous

$\frac{ (x^2y^5)^3/4 }{ 2^(3/4)\sqrt{3} ^{}x^2y^5}$

3. anonymous

?

4. anonymous

that is the expanded form

5. anonymous

how to expand?

6. anonymous

pull out the square root you end up with 1/(72x^2y^5)^1/4 and expand from there

7. anonymous

can you give me step by step :)

8. anonymous

how to get the final answer ..

9. triciaal

|dw:1439483838266:dw|

10. triciaal

|dw:1439483893738:dw|

11. triciaal

do you know how to find the prime factors of 72?

12. anonymous

2.2.2.3.3?

13. welshfella

exactly right

14. anonymous

then ?

15. triciaal

so the 4th root of 72 is not a rational number just use the rules of exponents above and apply to your question