Explanation
We're given the definition of a function and we are asked
to evaluate the function for the pair of numbers 
and 
.
The reciprocal of the product of these numbers is
We need to get this thing into a decimal notation. One approach
would be to compute 
and perform long division with the result.
Another would be compute and ,
separately, compute 
and 
by long division, and multiply the two
results. Both of these approaches would be time-prohibitive, so there must be a
simpler way. The number could be reformatted as 
,
or 
,
which is more computable. But the 30 there gives me the idea to separate out
powers of 10:
Now we must calculate. 
.
Beginning the 
computation by long division, we get
We can stop here, since we are counting zeroes, not going
for an actual value. The number in decimal form has 3 zeroes to the right of
the decimal point before the first significant digit. Multiplying by 
will add 5 zeroes, so the total number of
zeroes is 8. The correct answer is (B).
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