Question

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

Answer 1

Answer:

$\Rightarrow \dfrac{5}{4k^2}$

Step-by-step explanation:

Given: $\dfrac{5k}{6}\times \dfrac{3}{2k^3}$

We are given rational expression and to simplify it.

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

$\Rightarrow \dfrac{5k}{6}\times \dfrac{3}{2k\cdot k\cdot k}$

cancel the like terms from numerator and denominator

$\Rightarrow \dfrac{5}{2}\times \dfrac{1}{2k\cdot k}$

$\Rightarrow \dfrac{5}{4k^2}$

Hence, The product of  $\dfrac{5k}{6}\times \dfrac{3}{2k^3}$  is $\Rightarrow \dfrac{5}{4k^2}$

Answer 2

You have written ...
$\dfrac{5k}{6}\times \dfrac{3}{2}k^{3}=\dfrac{5}{4}k^{4}$

Perhaps you intend ...
$\dfrac{5k}{6}\times \dfrac{3}{2k^{3}}=\dfrac{5}{4k^{2}} = 1.25k^{-2}$