/*! 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 8 Find the value of each exponenti... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 8

Find the value of each exponential expression. $$ 8^{2} $$

Short Answer

Expert verified
64

Step by step solution

01

Understand Exponents

An exponent indicates how many times the base number is multiplied by itself. In this expression, the base is 8 and the exponent is 2. This means we need to multiply 8 by itself.
02

Multiply the Base Number by Itself

To find the value of the expression, calculate: \[ 8^{2} = 8 \times 8 \]
03

Calculate the Product

Perform the multiplication: \[ 8 \times 8 = 64 \]
04

Final Answer

The value of the exponential expression \( 8^{2} \) is 64.

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!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

exponents
An exponent is a small number placed to the top-right of a base number. It indicates how many times the base number needs to be multiplied by itself. For example, in the expression \( 8^2 \), the number 8 is the base, and the number 2 is the exponent. Here, the exponent tells us to multiply 8 by itself. So, \( 8^2 \) means \( 8 \times 8 \). Exponents are a way to simplify long multiplication processes. They are especially useful when dealing with very large or very small numbers.
base number
The base number is the main number in an exponential expression. It is the number that is being multiplied. In \( 8^2 \), the base number is 8. The base is the number we focus on for repeated multiplication. Understanding the base is crucial, as it tells us what number to use in the multiplication. The exponent tells us how many times to use the base in the multiplication. For instance, in \( 10^3 \), 10 is the base, meaning we multiply 10 by itself three times: \( 10 \times 10 \times 10 \).
multiplication
Multiplication is one of the basic arithmetic operations. It involves combining equal groups to find a total number. In exponential expressions such as \( 8^2 \), multiplication is used to find the value. The base number is multiplied by itself as many times as indicated by the exponent. So, \( 8^2 \) means multiplying 8 by 8, which gives us 64. Understanding multiplication helps simplify exponential expressions and allows for quick calculations of large numbers. Remember that in the context of exponents, multiplication is repeated addition, but in a much more concise form.

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

The two tables show the heights of some selected mountains and the depths of some selected trenches. Use the information given to answer. \( \)\begin{array}{|l|c|}\hline \text { Mountain } & {\text { Height (in feet) }} \\\ {\text { Foraker }} & {17,400} \\ {\text { Wilson }} & {14,246} \\\ {\text { Pikes Peak }} & {14,110} \\ \hline\end{array} $$ \begin{array}{|l|c|}\hline\text {} & {\text { Depth }( \text { in feet } } \\ {\text { Trench }} & {\text { as a negative number }} \\ {\text { Philippine }} & {-32,995} \\ {\text { Cayman }} & {-24,721} \\ {\text { Java }} & {-23,376} \\ \hline \end{array} $$ How much deeper is the Philippine Trench than the Cayman Trench?

Decide whether each statement is true or false. \(|-6|<|-9|\)

Perform each indicated operation. $$ \left(-\frac{3}{4}-\frac{5}{2}\right)-\left(-\frac{1}{8}-1\right) $$

Perform each indicated operation. $$ -9.1237+[(-4.8099-3.2516)+11.27903] $$

Solve each problem. Linda Des Jardines owes \(\$ 870.00\) on her MasterCard account. She returns two items costing \(\$ 35.90\) and \(\$ 150.00\) and receives credit for these on the account. Next, she makes a purchase of \(\$ 82.50\) and then two more purchases of \(\$ 10.00\) each. She makes a payment of \(\$ 500.00 .\) She then incurs a finance charge of \(\$ 37.23 .\) How much does she still owe?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

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.