/*! 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 101 Simplify the expressions. $$ ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 101

Simplify the expressions. $$ \frac{x^{3 / 2}}{x^{5 / 2}} $$

Short Answer

Expert verified
The simplified expression for \(\frac{x^{3 / 2}}{x^{5 / 2}}\) is \(x^{-1}\).

Step by step solution

01

Identify the base and exponents

Here, the base is x, and the exponents are: m = 3/2 n = 5/2 Step 2: Apply the rule of exponents (division)
02

Apply the rule of exponents (division)

Now, apply the rule for division with exponents: \( x^{3/2} 梅 x^{5/2} = x^{(3/2)-(5/2)} \) Step 3: Subtract the exponents
03

Subtract the exponents

Subtract the exponents: \( x^{(3/2)-(5/2)} = x^{(-2/2)} \) Step 4: Simplify the exponent
04

Simplify the exponent

Simplify the exponent's fraction: \( x^{(-2/2)} = x^{-1} \) Since the simplified expression is \(x^{-1}\), the original expression \(\frac{x^{3 / 2}}{x^{5 / 2}}\) simplifies to \(x^{-1}\).

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

Find all possible real solutions of each equation \(2 x^{6}-x^{4}-2 x^{2}+1=0\)

\(6 y^{2}+17 y+12\)

Find all possible real solutions of each equation \(x^{3}-6 x^{2}+12 x-8=0\)

\(20 y^{2}+7 y-3\)

\(y^{2}-4 y\)
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

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.