The expression obtained after the product of given expressions is [tex]x^2/4[/tex] and this can be determined by using the arithmetic operations.
Given :
Expressions -- [tex]x^2/6y[/tex], [tex]2x/y^2[/tex], [tex]3y^3/4x[/tex]
The following steps can be used in order to determine the product of the given expressions:
Step 1 - The arithmetic operations can be used in order to determine the product of the given expressions.
Step 2 - Write the given expressions.
[tex]x^2/6y[/tex], [tex]2x/y^2[/tex], [tex]3y^3/4x[/tex]
Step 3 - Multiply [tex]x^2/6y[/tex] and [tex]2x/y^2[/tex].
[tex]=\dfrac{x^2}{6y}\times \dfrac{2x}{y^2}[/tex]
[tex]=\dfrac{x^3}{3y^3}[/tex]
Step 4 - Now, multiply the above expression by [tex]3y^3/4x[/tex].
[tex]=\dfrac{x^3}{3y^3} \times \dfrac{3y^3}{4x}[/tex]
[tex]=\dfrac{x^2}{4}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/25834626
