Chapter 11: Q18. (page 699)

Find the quotient.
$\frac{x^{4}}{y^{2}} \div \frac{x}{y}$

Short Answer

Expert verified

The final answer is $\frac{x^{3}}{y}$ .

Step by step solution

Step 1. Define a rational function.

A function of the form $y = \frac{p}{q}$ is called a rational function, where $p$ and $q$ are the polynomials and $q \neq 0$ .

Step 2. Define the quotient of two expressions ab and cd.

The quotient of two expressions $\frac{a}{b}$ and $\frac{c}{d}$ , where $b \neq 0$ and $d \neq 0$ , is given below.

$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a c}{b d} ........... (1)$

Step 3. Calculate the quotient x4y2÷xy.

Use $(1)$ to find the quotient $\frac{x^{4}}{y^{2}} \div \frac{x}{y}$ .

$\begin{matrix} \frac{x^{4}}{y^{2}} \div \frac{x}{y} = (\frac{x^{4}}{y^{2}}) \times (\frac{y}{x}) \\ = \frac{(x^{4}) (y)}{(y^{2}) (x)} \\ = \frac{x^{3}}{y} \end{matrix}$

Therefore, the final answer is $\frac{x^{3}}{y}$ .

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Find the quotient.
$\frac{x^{4}}{y^{2}} \div \frac{x}{y}$

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the quotient of two expressions ab and cd.

Step 3. Calculate the quotient x4y2÷xy.

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Most popular questions from this chapter

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Find the quotient.x4y2÷xy

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the quotient of two expressions ab and cd.

Step 3. Calculate the quotient x4y2÷xy.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the quotient.
$\frac{x^{4}}{y^{2}} \div \frac{x}{y}$