Chapter 9: Q26. (page 476)

Simplify the expression $\frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2}$ .

Short Answer

Expert verified

The simplified value of expression is $\frac{x z}{8 y}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression is $\frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2}$ .

Step 2. Simplify the expression.

The given expression $\frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2}$ is simplified as:

$\begin{array}{l} \frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2} = \frac{2 x^{3} y}{z^{5}} \times {(\frac{z^{3}}{4 x y})}^{2} \\ = \frac{2 x^{3} y}{z^{5}} \times \frac{z^{6}}{16 x^{2} y^{2}} \\ = \frac{2}{16} \times \frac{x^{3} y z^{6}}{x^{2} y^{2} z^{5}} \\ = \frac{x z}{8 y} \end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{x z}{8 y}$ .

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Simplify the expression $\frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2}$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Simplify the expression 2x3yz5÷4xyz32.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the expression.

Step 3. Conclusion.

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Most popular questions from this chapter

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Simplify the expression $\frac{2 x^{3} y}{z^{5}} \div {(\frac{4 x y}{z^{3}})}^{2}$ .