Question

What is the product 5k/6 x 3/2k^3

Answer 1

You have written ...

`(5k)/(6)* (3)/(2)k^(3)=(5)/(4)k^(4)`

Perhaps you intend ...

`(5k)/(6)* (3)/(2k^(3))=(5)/(4k^(2)) = 1.25k^(-2)`

Answer 2

`\Rightarrow (5)/(4k^2)`

Explanation:

Given:
`(5k)/(6)* (3)/(2k^3)`

We are given rational expression and to simplify it.

First we factor
`k^3\rightarrow k\cdot k\cdot k`

`\Rightarrow (5k)/(6)* (3)/(2k\cdot k\cdot k)`

cancel the like terms from numerator and denominator

`\Rightarrow (5)/(2)* (1)/(2k\cdot k)`

`\Rightarrow (5)/(4k^2)`

Hence, The product of
`(5k)/(6)* (3)/(2k^3)` is
`\Rightarrow (5)/(4k^2)`