anonymous one year ago Easy question for quick medal... help please.

1. anonymous

There are (3^2)^4 ⋅ 3^0 bacteria in a petri dish. What is the total number of bacteria in the dish?

2. Curry

6561

3. Nnesha

anything to the 0 power is just equal to 1 $(2)^0 = 1$ $(x)^0 =1$ another exponent rule $\huge\rm (x^m)^n = x^{m \times n}$

4. anonymous

yeah I remember that .. @Nnesha

5. anonymous

@Curry that isnt right D:

6. Curry

well 9^4 * 1 = 6561

7. Curry

unless i misunderstood that?

8. anonymous

I think you did unfort! I can give you the answer choices? But I'd like to see the work done with it ..

9. anonymous

A) 3^8 B) 3^9 C)3^11 D)3^24

10. Curry

3^2 = 9 = 3 * 3 9^4 = 9*9*9*9 = 6561

11. Curry

well, if the base number is 3, then it'd just be 3^(2*4) = 3^8

12. anonymous

Ok thanks!

13. Nnesha

$\huge\rm (x^m)^n = x^{m \times n}$ ^^^ multiply outside exponent by inside exponent of the # :-) remember :?? :3 o^_^o btw welcome to openstudy!

14. anonymous

That would give me (3^8) ⋅ 3^0 @Nnesha right?

15. Nnesha

yep right and what's 3^0 = ?

16. anonymous

1?

17. Nnesha

perfect!

18. anonymous

@Nnesha ahh then what would the answer be? im a little confused. is 3^8 right?

19. Nnesha

did you get 3^8 ?

20. anonymous

OH

21. anonymous

i see

22. anonymous

okay, then 3^8 is right. because (3^8) x 1 = 3^8

23. Nnesha

yep right

24. anonymous

ahh thanks

25. Nnesha

np :-)