Chapter 7: Q27. (page 460)

Simplify the given expression. Assume that no denominator equals zero.
$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$

Short Answer

Expert verified

The final expression is $\frac{6}{x^{3} y^{4}}$ .

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define quotient of power rule.

The quotient of power rule is given by

$\frac{a^{m}}{a^{n}} = \frac{1}{a^{n - m}}$

Where, $a$ is any non-zero real number and $n > m$ .

Step 3. Simplify the expression 122xy5y4x4.

Use the property of power of a power rule.

$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}}) = 6 (\frac{x}{x^{4}}) (\frac{y^{4}}{y^{5}}) = 6 (\frac{1}{x^{4 - 1}}) (\frac{1}{y^{5 - 1}}) = 6 (\frac{1}{x^{3}}) (\frac{1}{y^{4}}) = \frac{6}{x^{3} y^{4}}$

Hence, $(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}}) = \frac{6}{x^{3} y^{4}}$

Therefore the final expression is $\frac{6}{x^{3} y^{4}}$ .

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Simplify the given expression. Assume that no denominator equals zero.
$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define quotient of power rule.

Step 3. Simplify the expression 122xy5y4x4.

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Simplify the given expression. Assume that no denominator equals zero.122xy5y4x4

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define quotient of power rule.

Step 3. Simplify the expression 122xy5y4x4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Statistics

Applied Mathematics

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify the given expression. Assume that no denominator equals zero.
$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$