## anonymous one year ago Simplify 2 to the 5th over 3 squared all raised to the 4th power. 2 to the 20th over 3 to the 8th 2 to the 9th over 3 to the 8th 8 to the 5th over 12 to the 2nd 2 over 3 to the 2nd

1. anonymous

@phi

2. phi

$\left(\frac{2^5}{3^2} \right)^4$

3. anonymous

thatscorrect

4. phi

so you have "something" multiplied by itself 4 times

5. anonymous

ok

6. phi

what is multiplied by itself 4 times?

7. anonymous

the 5?

8. anonymous

or 2

9. phi

everything in the parens is treated as one thing, that is multiplied by itself 4 times.

10. anonymous

so the 2 5 3 and 2 are multiplied by 4?

11. phi

you make a 4 copies of $$\left(\frac{2^5}{3^2} \right)$$ and multiply them together.

12. anonymous

woah

13. anonymous

thats alot

14. phi

do you know how to multiply fractions? top times top and bottom times bottom

15. anonymous

a little bit im pretty bad when it comes to fractions

16. phi

care to figure out the top ? (it's 2^5 times itself 4 times)

17. anonymous

mmmmh

18. anonymous

idk

19. phi

do you know what 2^5 means ? 2*2*2*2*2 right ?

20. anonymous

ohh woops

21. anonymous

ya so we do that

22. anonymous

4 times?

23. phi

yes

24. anonymous

ok 1 sec

25. phi

just "glue them together" and count the 2's

26. anonymous

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 20? xD

27. phi

yes 2^20 now the bottom

28. anonymous

ok

29. anonymous

3x3x3x3

30. anonymous

right?

31. phi

the bottom is 3^2 times itself 4 times

32. anonymous

oh i need 2 more sorry

33. anonymous

wait

34. anonymous

isnt that correct or would it be 3x2x3x2x3x2x3x2

35. phi

just 3 times itself

36. anonymous

3x3x3x3x3x3

37. phi

3^2 is 3*3 we multiply 3*3 by itself 4 times yes 3^8

38. phi

so the answer is 2^20/ 3^8

39. anonymous

ohh

40. anonymous

41. phi

practice helps

42. anonymous

yup ty very much

43. anonymous

ok 1 more and we will be done :DD

44. phi

ok, I'll get there. but try to do some of the work.