anonymous 4 years ago i need help with a few questions simplifing radicals with nth roots. only 10 mins of your time please

1. anonymous

question?

2. anonymous

ok it is $\sqrt[3]{-16}a ^{3}b ^{8}$ all underneath the square root sign

3. anonymous

I cant read the exponents they are too small. could you just type it out for mne please?

4. anonymous

sure

5. anonymous

a to the 3rd power and b to the eighth power and its to the cube root

6. anonymous

alrighty

7. anonymous

is the -16 the only thing under the cube root ?

8. anonymous

yes besides the a to the third power and b to the eighth

9. anonymous

so the variables are NOT under the root?

10. anonymous

they are

11. anonymous

okey dokey

12. anonymous

sorry my computer froze

13. anonymous

So we could take the cube root of -16, but thats an ugly number, and we cant take the square root of a negative number so it has to remain under there. The cube root of a cubed is a. for example cube 2 to get 8, the cube root of 8 is 2. so we take a out from under the radical and we have a * cuberoot(-16b^8)

14. anonymous

good so far?

15. anonymous

16. anonymous

$a * \sqrt[3]{-16b^8}$

17. anonymous

can u snwser some more? how many are u willing to do

18. anonymous

we arent done with the problem yet!

19. anonymous

oh

20. anonymous

Hmm. maybe we are... Hold on just a sec and let me see if that is simplified. I think it is but I dont want to give you false info, I will re ask the question on here and maybe someone smarter than me will respond.

21. anonymous

I was really far off. I'm sorry for even trying to attempt that question without having practiced it in over a year. I hope I didnt confuse you. sorry