Divide assume that no denominator equal zero. b^4/ 2a^2 divided by b^3/ a

Step-by-step explanation:

Essentially, what you have is a fraction divided by a fraction.  The rule there is to bring up the bottom fraction and then flip it to multiply.  That would look like this:

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Now you can do some canceling out of like terms.  There is a b^3 in the denominator and a b^4 in the numerator.  You can take 3 b's out of 4, so the b^3 cancels completely out with the b^4, leaving only one b behind.  The a in the numerator cancels with one of the a's in the a^2, leaving one behind.  So the answer to this is: