We are given the following expression:
[tex](\frac{2x^3}{x^4y^2})^2[/tex]
To simplify, we will first use the following property of exponents:
[tex](\frac{a}{b})^2=(\frac{a^2}{b^2})[/tex]
Applying the property we get:
[tex]\frac{(2x^3)^2}{(x^4y^2)^2}[/tex]
Now we will use the following property:
[tex](ab)^2=a^2b^2[/tex]
applying the property:
[tex]\frac{4x^6}{x^8y^4}[/tex]
Now we cancel out like terms:
[tex]\frac{4}{x^2y^4}[/tex]
Since we can not simplify any further this is the answer.
