## Janu16 one year ago Rewrite in simplest rational exponent form. Show each step. I will draw it hold on.

1. Janu16

@DanJS

2. Janu16

|dw:1438036602835:dw|

3. DanJS

yeah, do you remember the root rule

4. DanJS

apply that to both of them first

5. DanJS

changing a radical to a base to a power

6. DanJS

The nth root of something is the same as that something raised to the (1/n) power

7. DanJS

why did you make a fraction, there are no negative exponents here...

8. Janu16

i meant 4/2

9. DanJS

$\sqrt{x}*\sqrt[4]{x} = x ^{1/2}*x ^{1/4}$

10. Janu16

uhh i dont know where i got 3 from lol so its suppose to be 1

11. DanJS

ha, i was wondering.. now just add the exponents when you multiply the common base x together

12. Janu16

so you are suppose to have same base so would you change both base to 4?

13. DanJS

you can only combine the powers if the bases are thesame , in this case they both are X

14. Janu16

so you dont change the base or you do?

15. DanJS

no no, just use the rule... $x^a * x^b = x^{a + b}$

16. Janu16

x^2

17. Janu16

are there any further steps??

18. Janu16

@DanJS