/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 89 Perform the indicated operation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 89

Perform the indicated operation or operations. $$\frac{(2 x-7)^{5}}{(2 x-7)^{3}}$$

Short Answer

Expert verified
The simplified expression is \((2x-7)^{2}\).

Step by step solution

01

Recognize base and powers

In the given expression \(\frac{(2 x-7)^{5}}{(2 x-7)^{3}}\), the base is (2x-7) which is being raised to the power of 5 in the numerator and 3 in the denominator.
02

Apply rule of exponents

The rule of exponents states that when you're dividing expressions with the same base, you subtract the exponent in the denominator from the exponent in the numerator, i.e., \(a^{m}/a^{n} = a^{m-n}\). Here, the base 'a' is (2x-7), 'm' is 5, and 'n' is 3. Thus, \(\frac{(2 x-7)^{5}}{(2 x-7)^{3}} = (2x-7)^{5-3}\)
03

Compute final expression

After subtracting the exponents, the final expression is \((2x-7)^{2}\)

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. . You grouped the polynomial's terms using different groupings than I did, yet we both obtained the same factorization.

Using an example, explain how to factor out the greatest common factor of a polynomial.

$$\text { factor completely.}$$ $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{7(x-3)}{2 x-16}, \text { for } x=9$$

Determine whether each statement in Exercises 43鈥�50 is true or false. $$-\pi \geq-\pi$$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.