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## anonymous 5 years ago can someone help me make up a radical expression and convert it into a radical exponent?/????

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1. anonymous

$\sqrt{3^4} = 3^{\frac{4}{2}}$

2. anonymous

how was the expression converted?

3. anonymous

you see the 3? it keeps its own exponent but takes onthe root of the radical as a bottom number...

4. anonymous

more...the square root of 3 is the same as 3 to the power of 1/2

5. anonymous

yup

6. anonymous

im still not uderstanding how you got it ... so your saying in the beginging before you put it in that form it was 3 sqrt 4 and waht?

7. anonymous

nope. to begin it was just sqrt(3^4) could have been any number really. and any radical. 5radical[16] = 16^1/5

8. anonymous

a radical is what happens when you get a fraction as an exponent

9. anonymous

so the answer is 3^4 16^1/5???

10. anonymous

what answer? you wanted someone to help you make radical into exponent. there is no "answer" fo be figured out. just examples.

11. anonymous

yes so is it 3^4 16 ^1/5

12. anonymous

Keep it simple: sq rt 3 is same as 3 ^ 1/2. Sometimes the number has a square inside: sq rt of 3^2 becomes 3^2*(1/2)

13. anonymous

no. 2 examples dont make one answer lol. give me radical and i show you exponent ok?

14. anonymous

ok 5 sqrt 4

15. anonymous

5 sqrt4 can be sqrt25*4 =sqrt100 sqrt100 = 100^1/2

16. anonymous

give me another one...show you more :)

17. anonymous

3 sqrt 4

18. anonymous

3sqrt4 = sqrt9*4 = sqrt36 = 36^1/2

19. anonymous

makes good sense yet ?

20. anonymous

yes thanks

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