Choose the correct simplification of the expression ______

Question

anonymous · Answer

Expression: $$6b / a ^{-9}$$

anonymous · Answer

Answers: 
A. $$a ^{9}b/6$$
B. $$6b/a ^{9}$$
C. Already simplified 
D. $$6a ^{9}$$

accessdenied · Answer

I think there is a typo or something missing here.
But anyways, negative exponents can be moved across the fraction and made positive like this:
   $ a^{-n} = \dfrac{1}{a^n} $,          $\dfrac{1}{a^{-n}} = a^n $

anonymous · Answer

where is the typo

accessdenied · Answer

Not certain, since I don't have a copy of the problem.  However, 6b / a^(-9)  does not seem to have an answer on the answer choices you listed even though it is not in simplest form.

anonymous · Answer

what would it most likly be?

accessdenied · Answer

$ \dfrac{1}{a^{-9}} = a^9 $

You can see that from $ \dfrac{6b}{a^{-9}} = 6a^9 b $  ?

anonymous · Answer

ok yeah i know this homework is crazy :P

accessdenied · Answer

I figured you might not have fully written D.)   6a^9 ((b))  <-- that would work
but there's no certainty on that one.  lol

I prefer handwritten work to get one answer, rather than multiple choice.  :)