## anonymous one year ago Evaluate fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5.

1. anonymous

i give medals :)

2. anonymous

here are the choices 9 to the power of negative 1 over 2 9 to the power of negative 1 over 4 9 92

3. Nnesha

$$\color{blue}{\text{Originally Posted by}}$$ @x.curlsss i give medals :) $$\color{blue}{\text{End of Quote}}$$ i prefer chocolates

4. anonymous

lol but can you help me

5. Nnesha

alright $\huge\rm \frac{ \sqrt[4]{9} \times \sqrt{9} }{ \sqrt[4]{9^5}}$ like this ?

6. anonymous

what does the 4 at the top mean

7. Nnesha

4th root

8. anonymous

oh ok

9. Nnesha

alright so you can convert root to exponent exponent rule $\huge\rm \sqrt[m]{x^n} = x^ \frac{ n }{ m }$

10. Nnesha

m= root number n= exponent of base under the root

11. anonymous

9 4/5 right?

12. Nnesha

n over m not m over n

13. Nnesha

|dw:1438952130246:dw|

14. anonymous

i need to go :( but which one of the choices would it be

15. Nnesha

A or B or maybe D or C

16. Nnesha

how would you convert $\sqrt[4]{9^1} = ???$ to exponent form ?

17. anonymous

idk thats why I'm confused :/

18. Nnesha

|dw:1438952454421:dw| just apply the exponent look at the drawing just like i convertd 4th root of 9^5 to 9 to the 5/4 power

19. Nnesha

|dw:1438952562345:dw|

20. anonymous

9 1/4?

21. Nnesha

yes right and square root of 9 = ?

22. anonymous

3

23. anonymous

or 81 ?

24. Nnesha

yea now you have $\huge\rm \frac{ 9^\frac{ 1 }{ 4 } \times 3 }{ 9^\frac{ 5 }{ 4 } }$ there are same bases at the numerator and t the denominator you need to apply quotient exponent rule $\large\rm \frac{ x^m }{ x^n }=x^{m-n}$

25. Nnesha

81?

26. anonymous

would it be A ?

27. Nnesha

how did you get that >? ;)