/*! 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 Write each expression using expo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 11

Write each expression using exponents. $$ 10 \cdot 10 \cdot 10 \cdot 10 $$

Short Answer

Expert verified
\(10^4\)

Step by step solution

01

Identify the Base

Look at the repeated multiplication of the same number. In this case, the number being multiplied repeatedly is 10.
02

Count the Repetitions

Determine how many times the base (10) is being multiplied by itself. Here, 10 is multiplied by itself 4 times.
03

Express with Exponents

Rewrite the repeated multiplication using an exponent. The base 10 is raised to the power of the number of times it is multiplied, which is 4. This can be written as: \(10^4\).

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 exponents
When we talk about exponents in algebra, understanding the 'base' is essential. The base is the number that is repeatedly multiplied in an expression involving exponents. For example, in the expression \(10^4\), 10 is the base. This means that 10 is the number you are multiplying by itself. Remember, the base is always the value you start with and continue multiplying.
exponentiation
Exponentiation is the process of raising a base to a power. In simple terms, it is a way to show repeated multiplication of the same number. For instance, in \(10^4\), the 4 is the exponent and it tells us how many times to multiply the base (which is 10) by itself. So, \(10^4 = 10 \times 10 \times 10 \times 10\). Exponentiation helps in simplifying the way we write long multiplications and makes calculations easier to manage.
repeated multiplication
Repeated multiplication is at the heart of understanding exponents. Instead of writing \(10 \times 10 \times 10 \times 10\) every time, we use exponents to simplify it to \(10^4\). Here, the exponent (4) indicates how many times the base (10) is used as a factor. This not only makes the expression shorter but also more convenient, especially when dealing with larger numbers or more complex calculations.

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

Simplify each expression. $$ \frac{2(-5)+(-3)(-2)}{-8+3^{2}-1} $$

Evaluate each expression for \(a=-3, b=64,\) and \(c=6 .\) $$ \sqrt{b}-c+a $$

The distributive property can be used to mentally perform calculations. $$\begin{array}{l}38 \cdot 17+38 \cdot 3 \\\=38(17+3) \\\=38(20) \\\=760\end{array} $$Use the distributive property to calculate each value mentally. $$ 8.75(15)-8.75(5) $$

Simplify each expression. $$ 18-4^{2}+5-(3-7) $$

Simplify each expression. $$ 6+\frac{2}{3}(-9)-\frac{5}{8} \cdot 16 $$
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.