## Janu16 one year ago Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process

1. Janu16

|dw:1438042604911:dw|

2. Janu16

@jim_thompson5910

3. jim_thompson5910

|dw:1438043066699:dw|

4. jim_thompson5910

Rule: $\LARGE \sqrt[n]{x^m} = x^{m/n}$

5. jim_thompson5910

do you see the next step?

6. Janu16

wait no

7. Janu16

so do you change the base to 4 for both? @jim_thompson5910

8. jim_thompson5910

|dw:1438043272070:dw| because of the rule $\LARGE x^a*x^b = x^{a+b}$

9. Janu16

2/6?

10. jim_thompson5910

no

11. jim_thompson5910

1/2 = 2/4

12. jim_thompson5910

use that to add the fractions

13. Janu16

what fractions

14. jim_thompson5910

$\Large \frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4} = ???$

15. Janu16

5/14?

16. jim_thompson5910

how are you getting that?

17. Janu16

18. jim_thompson5910

when you add fractions, the denominators must be the same. You do NOT add the denominators

19. jim_thompson5910

saying 1/2 + 2/3 is NOT 3/5

20. Janu16

thats why i was asking you do you chnage the denomiantor

21. jim_thompson5910

yeah you have to get all the denominators to be the same number

22. jim_thompson5910

which is why I replaced 1/2 with 2/4

23. Janu16

so 3/4?

24. jim_thompson5910

yeah 1/2 + 1/4 = 3/4

25. Janu16

26. Janu16

can you like draw all the steps so i can see everything you did from beginning

27. jim_thompson5910

I drew above how to convert to rational exponent form

28. jim_thompson5910

from there you just add 1/2 to 1/4 to get 3/4

29. jim_thompson5910

since 1/2 is the same as 2/4, that's why I got 2/4 + 1/4 = 3/4

30. Janu16

ok thanls