To get the product for this equation you must first simplify the equation, that leaves you with :
(15k) / (12k^3) Then you take out the constants:
(15) / (12) * (k) / (k^3) Then simplify (15) / (12) to (5) / (4) :
(5) / (4) * (k) / (k^3) Then use the quotient rule which is (x^a) / x^b) = x^a-b :
(5k^1-3) / (4) simply 1-3 to -2
(5k^-2) / (4)
THEN USE THE NEGATIVE POWER RULE which is x^-a = (1) / x^a) :
(5 x (1/k^2) ) / (4)
THEN SIMPLIFY 5 * (1) / (k^2) to (5) / (k^2)
( (5) / (k^2) / (4) ) THEN SIMPLY AGAIN
That leaves you with the answer : (5) / (4k^2)
So the correct answer to this problem is answer choice (A) (5) / (4k^2)
