/*! 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 31 Simplify each exponential expres... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 31

Simplify each exponential expression. $$\left(x^{3}\right)^{7}$$

Short Answer

Expert verified
The simplified form of the given expression \( (x^{3})^{7} \) is \( x^{21} \)

Step by step solution

01

Identify the Base and Exponents

Identify the given base and exponents. Here, the base is \( x \) and the exponents are \( 3 \) and \( 7 \). The expression \( (x^{3})^{7} \) means that \( x \) is raised to the power of \( 3 \), and then the result is raised to the power of \( 7 \).
02

Apply the Power of Power Rule

According to the power of a power rule, when you raise a power to another power, you should multiply the exponents together. So we multiply \( 3 \times 7 \) to get \( 21 \).
03

Write the Simplified Expression

The simplified form of \( (x^{3})^{7} \) is \( x^{21} \). That is, \( x \) is raised to the power of \( 21 \).

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

Suppose that a polynomial contains four terms. Explain how to use factoring by grouping to factor the polynomial.

This will help you prepare for the material covered in the next section. a. Use a calculator to approximate \(\sqrt{300}\) to two decimal places. b. Use a calculator to approximate \(10 \sqrt{3}\) to two decimal places. c. Based on your answers to parts (a) and (b), what can you conclude?

Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$

Evaluate each algebraic expression for the given value or values of the variable(s). $$x^{2}-3(x-y), \text { for } x=8 \text { and } y=2$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. First factoring out the greatest common factor makes it easier for me to determine how to factor the remaining factor, assuming that it is not prime.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

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.