## DF001 one year ago (Algebra) What to do when index is 6 and radical 1,000,000?

1. DF001

$\sqrt[6]{1,000,000}$

2. DF001

can someone show me how to solve this in steps pls I only know how to do it when the index is 2

3. DF001

I need help pls

4. DF001

hi i need help pls

5. DF001

|dw:1441854537227:dw|

6. anonymous

What are the factors of 1,000,000?

7. DF001

1000 x 1000

8. DF001

i only know how to do when index is 2

9. anonymous

$\sqrt[6]{1000000}=\sqrt[6]{^{10^6}}=10$

10. DF001

but i never done one with a 6

11. DF001

I know the answer is 10 but, im not sure how to get it

12. anonymous

@amirreza1870 Giving out direct answers is against the Code of Conduct of openstudy. :)

13. DF001

i dont know how to reduce it

14. DF001

i know i can use 1000000^1/6 but, i would have to use the calculator for that and im trying to avoid from using my calculator

15. anonymous

ok.I used this rule $\sqrt[m]{a^{n}}=a^{\frac{ n }{ m }}$

16. DF001

1000000^1/6 but if i had no calculator how else can i do it on paper

17. DF001

breaking it down

18. DF001

|dw:1441854836289:dw| something like thise

19. DF001

is there a way to do it without calculator for 1000000^1/6

20. DF001

Well, I think it's impossible to do 1000000^1/6 by hand so ill assume this question requires a calculator

21. DF001

its not that i cant use the calculator during test but, it would be nice to know how :/

22. anonymous

You can factor it if you want. As you can see, 10 is the factor of 1,000,000 six times, so $$\sqrt[6]{1,000,000} = 10$$|dw:1441855339746:dw|