Question

What is the product?


`(5k)/(6)* (3)/(2k^3)`
A.
`(5)/(4k^2)`
B.
`(5k^2)/(4)`
C.
`(5k^4)/(4)`
D.
`(5)/(4k^4)`

Answer 1

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)