/*! 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 332 In the following exercises, writ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 332

In the following exercises, write in exponential form. $$ 10 \cdot 10 \cdot 10 $$

Short Answer

Expert verified
10^3

Step by step solution

01

Identify the Base

The number being multiplied repeatedly is called the base. In this problem, the base is 10.
02

Count the Number of Multiplications

Determine how many times the base (10) is being multiplied. Here, 10 is multiplied by itself 3 times.
03

Write in Exponential Form

Combine the base and the number of multiplications into an exponential form. This is written as the base raised to the power of the number of multiplications. So, 10 multiplied by itself 3 times is written as \[ 10^3 \]

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.

base
In mathematics, the term 'base' refers to the number being multiplied repeatedly. For example, in the problem where we have to express the repeated multiplication of 10 as an exponential form, the base is 10. The base is essential because it is the fundamental building block upon which the entire expression is constructed.

If you see an expression like \(10 \cdot 10 \cdot 10\), the base is the number that is consistent across the entire multiplication. This number stays the same, no matter how many times it is multiplied by itself. Base plays a crucial role in simplifying and understanding exponential expressions.
number of multiplications
The 'number of multiplications' indicates how many times the base is multiplied by itself. For instance, in \(10 \cdot 10 \cdot 10\), the number 10 is multiplied three times. Each time you multiply the base by itself, you increase the count.

Counting the number of multiplications helps determine the exponent. Here, since 10 is multiplied by itself 3 times, the number of multiplications is 3. This is vital for expressing the problem in exponential form, which drastically simplifies the notation.
exponents
Exponents are a way to express repeated multiplication concisely. They consist of a base and an exponent. The base is the number being multiplied (e.g., 10 in \(10 \cdot 10 \cdot 10 \)), and the exponent indicates how many times the base is multiplied by itself.

For example, in \ 10^3 \, 10 is the base, and 3 is the exponent. This tells you that 10 should be multiplied by itself 3 times. Exponential notation is very powerful because it makes complex multiplication simple and easier to manipulate in mathematical operations.

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

In the following exercises, solve each equation using the addition property of equality. $$ g-39=117 $$

In the following exercises, translate the given sentence into an algebraic equation and then solve it. The difference of d and 30 is equal to 52.

Sale purchase Rita bought a sofa that was on sale for \(\$ 1299 .\) She paid a total of \(\$ 1409,\) including sales tax. Find the amount of the sales tax, \(t,\) by solving the equation \(1299+t=1409\)

In the following exercises, find the least common multiple of each pair of numbers. $$ 25,35 $$

In the following exercises, find the least common multiple of each pair of numbers. $$ 12,20 $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.