Chapter 6: Q. 770 (page 806)

In the following exercises, simplify each expression.
$\frac{80 c^{8} d^{2}}{16 c d^{10}}$ .

Short Answer

Expert verified

The simplified expression for $\frac{80 c^{8} d^{2}}{16 c d^{10}}$ is, $\frac{5 c^{7}}{d^{8}}$ .

Step by step solution

Step 1. Given information

$\frac{80 c^{8} d^{2}}{16 c d^{10}}$ .

We need to simplify the given expression.

Step 2. Use the quotient property.

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

role="math" localid="1647766553743" $\frac{80 c^{8} d^{2}}{16 c d^{10}} = \frac{80 c^{8 - 1} . d^{2 - 10}}{16} = \frac{80 c^{7} . d^{- 8}}{16}$

Now simplify it.

$\frac{80 c^{7} . d^{- 8}}{16} = \frac{80 c^{7}}{16 d^{8}} = \frac{5 c^{7}}{d^{8}}$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, simplify each expression.
$\frac{80 c^{8} d^{2}}{16 c d^{10}}$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the quotient property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.80c8d216cd10.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Use the quotient property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$\frac{80 c^{8} d^{2}}{16 c d^{10}}$ .