/*! 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 35 Write in expanded form. \(5^{3... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 35

Write in expanded form. \(5^{3}\)

Short Answer

Expert verified
5 \times 5 \times 5

Step by step solution

01

Understand the Exponent

The exponent in the expression \(5^{3}\) indicates that the base number 5 is multiplied by itself a total of 3 times.
02

Write the Multiplication

Write the base number 5, multiplied by itself as many times as indicated by the exponent. In this case, it is: \(5 \times 5 \times 5\).
03

Simplify

Evaluate the multiplication: \(5 \times 5 = 25\), then \(25 \times 5 = 125\).

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
In mathematics, an exponent indicates how many times a number, known as the base, is multiplied by itself. In the expression \(5^3\), the exponent is 3, meaning the base number 5 is used as a factor three times. Understanding exponents helps us simplify expressions and perform calculations more efficiently. Exponents are widely used in various fields such as algebra, physics, and computer science.
Multiplication
When we deal with exponents, we often need to perform multiple multiplication operations. For instance, \(5^3\) can be expanded to \(5 \times 5 \times 5\). Each multiplication step should be tackled methodically to avoid errors.
  • First, multiply the base number by itself for the count indicated by the exponent.
  • Here, multiply 5 by itself three times (\(5 \times 5 \times 5\)).
  • This step-by-step approach helps to break down complex exponentiation problems.
Simplification
The final step is to simplify the multiplication expression we derived. This means calculating the product of the numbers. For \(5^3 = 5 \times 5 \times 5\):
  • First, multiply 5 by 5 to get 25.
  • Next, multiply the result (25) by 5 again to get 125.

Simplification is crucial to get the final value of the expression. In this case, the expanded form of \(5^3\) simplifies to 125.

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, find the prime factorization of each number using the factor tree method. $$ 693 $$

In the following exercises, simplify the given expression by combining like terms. $$7 c+4+6 c-3+9 c-1$$

In the following exercises, find the prime factorization of each number using the factor tree method. $$ 420 $$

In the following exercises, simplify. $$ 4+3(10-1) $$

Simplify. \(3^{2}-18 \div(11-5)\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.