SOLUTION: Divide and simplify a/h^2 divided by a^2/h^3

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Question 251424: Divide and simplify
a/h^2 divided by a^2/h^3
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: %28a%2Fh%5E2%29%2F%28a%5E2%2Fh%5E3%29

Dividing two fractions is the same as multiplying one fraction by the reciprocal of the other fraction.

The reciprocal of a%5E2%2Fh%5E3 is h%5E3%2Fa%5E2

Therefore, we may re-write the expression to this:
%28a%2Fh%5E2%29%2A%28h%5E3%2Fa%5E2%29 ...which equals... ah%5E3%2Fa%5E2h%5E2

Now, let's simplify:
ah%5E3%2F%28a%5E2h%5E2%29

We may cancel "a" in the numerator with one "a" from the denominator, thus we get:
h%5E3%2Fah%5E2

We may also cancel h%5E2 from the denominator with h%5E2 out of the numerator. The final expression is:

h%2Fa