## kandsbbf Group Title What is a simpler form of the radical expression? one year ago one year ago

1. kandsbbf Group Title

|dw:1358117374152:dw|

2. kandsbbf Group Title

@Butterfly16

3. kandsbbf Group Title

some pls help

4. kandsbbf Group Title

@loveudrew123

5. nooce Group Title

Simplify the x^12 and y^16 first

6. nooce Group Title

Remember:$(x^a)^b x^{a• b}$

7. kandsbbf Group Title

do i just simplify the exponents?

8. nooce Group Title

We're simplifying them first, cause it's easier haha, we'll move on to the 240 after you simplify the exponents

9. nooce Group Title

2901*

10. kandsbbf Group Title

so how do i simplify them?

11. nooce Group Title

Well since, $(x^a)^b = x^{a•b}$ divide x^12 and y^16 by 4. What do you get?

12. nooce Group Title

(I mean the powers of x and y)

13. kandsbbf Group Title

x^2 x^4

14. nooce Group Title

Wait, but 12/4 = 3, not 2. Also, it would be y^4

15. nooce Group Title

But moving on, now we simplify $\sqrt[4]{2901}$ Do you have any idea on how to do this? (just asking)

16. kandsbbf Group Title

no lol, but i really appreciate u teaching me

17. nooce Group Title

No problem, I'm glad to help :) Well, first, we need to find a factor of 2901 that is a power of 4. (ex. 16, because 2^4 = 16)

18. kandsbbf Group Title

how do we do that lol

19. nooce Group Title

Here's a list of em: $2^4 = 16$ $3^4 = 81$ $4^4 = 256$ $5^4 = 625$ $6^4 = 1296$ Are any of these numbers factors of 2901?

20. kandsbbf Group Title

no i get dec. for all of them

21. nooce Group Title

The number in the problem is 2901, right?

22. nooce Group Title

Or is it 2401?

23. nooce Group Title

because, $7^4 = 2401$

24. kandsbbf Group Title

2401 sorry(:

25. kandsbbf Group Title

@nooce

26. nooce Group Title

Alright, since we know 2401 = 7^4, we can take that out of the radical :) So we get, $\sqrt[4]{2401x^{12}y^{16}} = 7x^3y^4$ Do you get it? :D

27. kandsbbf Group Title

yes thankyou!