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Mathematics 18 Online
OpenStudy (anonymous):

Easy question for quick medal... help please.

OpenStudy (anonymous):

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

OpenStudy (curry):

6561

Nnesha (nnesha):

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

OpenStudy (anonymous):

yeah I remember that .. @Nnesha

OpenStudy (anonymous):

@Curry that isnt right D:

OpenStudy (curry):

well 9^4 * 1 = 6561

OpenStudy (curry):

unless i misunderstood that?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (curry):

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

OpenStudy (curry):

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

OpenStudy (anonymous):

Ok thanks!

Nnesha (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!

OpenStudy (anonymous):

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

Nnesha (nnesha):

yep right and what's 3^0 = ?

OpenStudy (anonymous):

1?

Nnesha (nnesha):

perfect!

OpenStudy (anonymous):

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

Nnesha (nnesha):

did you get 3^8 ?

OpenStudy (anonymous):

OH

OpenStudy (anonymous):

i see

OpenStudy (anonymous):

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

Nnesha (nnesha):

yep right

OpenStudy (anonymous):

ahh thanks

Nnesha (nnesha):

np :-)

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