Question

Evaluate variable expression with fraction,$4x^2{y}^2$When$x=\frac{2}{3},y=\frac{-3}{4}$

Short answer

The simplified value of the variable expression is$1$

Step-by-step solution

Step 1, Given information

The given variable expression is$4x^2{y}^2$

Step 2. Substitute the value of variables

Putting the value of $x=\frac{2}{3}andy=\frac{-3}{4}$in the given expression

$$\begin{gathered} 4x^2{y}^2 \\ =4{\left(\frac{2}{3}\right)}^2{\left(\frac{-3}{4}\right)}^2=\frac{4.2^2.{(-3)}^2}{3^2.4^2} \\ =\frac{4.4.9}{9.16} \\ =\frac{1}{1} \\ =1 \end{gathered}$$

Step 3. Conclusion

Hence, The simplified value is $1$