Chapter 7: Q6. (page 463)

Simplify each expression. Assume that no denominator equals 0.
$\frac{2 x y^{- 7}}{8 x}$

Short Answer

Expert verified

The expression $\frac{2 x y^{- 7}}{8 x}$ can be simplified to $\frac{1}{4} y^{- 7}$ .

Step by step solution

Step 1. Group powers with same base.

Group powers with same base in given expression.

$(\frac{2}{8}) (\frac{x}{x}) y^{- 7}$

Step 2. Write quotient of powers rule.

For any nonzero number x and any integers m and n, $\frac{x^{m}}{x^{n}} = x^{m - n}$ .

Step 3. Apply quotient of powers rule to given expression.

Apply quotient of powers rule to step 1.

$\frac{2}{8} x^{1 - 1} y^{- 7}$

Step 4. Simplify the expression.

Simplify the expression obtained in step 3.

$\frac{1}{4} x^{0} y^{- 7} = \frac{1}{4} y^{- 7}$

Therefore, $\frac{2 x y^{- 7}}{8 x}$ can be simplified to $\frac{1}{4} y^{- 7}$ .

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Simplify each expression. Assume that no denominator equals 0.
$\frac{2 x y^{- 7}}{8 x}$

Short Answer

Step by step solution

Step 1. Group powers with same base.

Step 2. Write quotient of powers rule.

Step 3. Apply quotient of powers rule to given expression.

Step 4. Simplify the expression.

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Simplify each expression. Assume that no denominator equals 0.2xy−78x

Short Answer

Step by step solution

Step 1. Group powers with same base.

Step 2. Write quotient of powers rule.

Step 3. Apply quotient of powers rule to given expression.

Step 4. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression. Assume that no denominator equals 0.
$\frac{2 x y^{- 7}}{8 x}$