/*! 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 11 Use properties of exponents to s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 11

Use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{2^{8}}{2^{4}}\)

Short Answer

Expert verified
The simplified form of the expression is \(2^{4}\) and its value is 16.

Step by step solution

01

Express the expression using exponent rules

The expression given is \(\frac{2^{8}}{2^{4}}\). This can be rewritten according to the rule stated in the analysis. Thus the expression transforms to \(2^{8-4}\).
02

Simplify the exponent

Subtract the exponent in the denominator from that in the numerator, i.e., calculate \(8-4\). This gives \(2^{4}\).
03

Evaluate the Expression

Now, calculate \(2^{4}\) to get the final simplified expression. \(2^{4} = 16\).

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 sequence is arithmetic or geometric. Then find the next two terms. \(-9,-5,-1,3, \ldots\)

A person is investigating two employment opportunities. They both have a beginning salary of $$\$ 20,000$$ per year. Company A offers an increase of $$\$ 1000$$ per year. Company B offers \(5 \%\) more than during the preceding year. Which company will pay more in the sixth year?

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{8}\), when \(a_{1}=40,000, r=0.1\).

Write the first six terms of the geometric sequence with the first term, \(a_{1}\), and common ratio, \(r\). \(a_{1}=1000, r=1\)

Find the indicated term for the geometric sequence with first term, \(a_{1}\), and common ratio, \(r\). Find \(a_{5}\), when \(a_{1}=4, r=3\).
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Calculus

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.