Chapter 1: Q.428 (page 93)

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

Short Answer

Expert verified

The simplified value of the variable expression is $1$

Step by step solution

Step 1, Given information

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

Step 2. Substitute the value of variables

Putting the value of $x = \frac{2}{3} a n d y = \frac{- 3}{4}$ in the given expression

$4 x^{2} y^{2} = 4 {(\frac{2}{3})}^{2} {(\frac{- 3}{4})}^{2} = \frac{4 . 2^{2} . {(- 3)}^{2}}{3^{2} . 4^{2}} = \frac{4.4.9}{9.16} = \frac{1}{1} = 1$

Step 3. Conclusion

Hence, The simplified value is $1$

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

Short Answer

Step by step solution

Step 1, Given information

Step 2. Substitute the value of variables

Step 3. Conclusion

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