/*! 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 38 Evaluate the expression. $$24+... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 38

Evaluate the expression. $$24+m^{3} \text { when } m=5$$

Short Answer

Expert verified
The expression \( 24+m^3 \) evaluates to 149 when \( m=5 \).

Step by step solution

01

Substituting the Value

In the first step, the value of variable \( m \), that is \( 5 \), is substituted into the expression. The expression then becomes \(24+ 5^3\)
02

Calculating the Exponentiation

Next, calculate the value of \( 5^3 \) which equals to \( 125 \). So now the expression becomes \(24+ 125\)
03

Performing the Addition

Lastly, add 24 and 125 which equals to \( 149 \). So the expression \( 24+m^3 \) evaluates to 149 when \( m = 5 \).

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.

Substitution
In algebra, substitution plays a key role in simplifying and solving expressions. When you have a variable in an expression, like \( m \) in \( 24 + m^3 \), substitution allows you to replace that variable with a given number. For example:
- If we're given that \( m = 5 \), we replace every instance of \( m \) in the expression with \( 5 \).
Think of substitution as a straightforward swap, helping you turn a complex algebraic expression into something more manageable. This step is essential before evaluating the rest of the expression.
Exponentiation
Exponentiation is the mathematical operation where a number, known as the base, is multiplied by itself a specified number of times. In this expression, \( m^3 \) means \( m \) multiplied by itself twice more (three times total).
For \( m = 5 \), we compute \( 5^3 \). This means:
  • Multiply \( 5 \) by \( 5 \) to get 25.
  • Then, multiply 25 by 5, resulting in 125.
Exponentiation increases the value rapidly depending on the size of the base and the power, adding depth to algebraic problems.
Addition
Addition is one of the fundamental operations in math, used to calculate the sum of numbers. Once you've completed your substitution and exponentiation tasks, you're left with an expression that's ready for addition.
In our case, the expression transforms into \( 24 + 125 \) after substitution and exponentiation.
  • Start by aligning the numbers, usually by place value.
  • Add 24 and 125 to get 149.
Addition combines values to reach a single sum, completing the problem-solving process and arriving at a final, simple solution.

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

Use linear combinations to solve the system. $$ \begin{aligned} &-x+2 y=12\\\ &x+6 y=20 \end{aligned} $$

Write your answer as a power or as a product of powers. $$ \left(a b c^{2}\right)^{3}\left(a^{2} b\right)^{2} $$

Sketch the graph of the inequality in a coordinate plane. $$ \frac{3}{4} x+\frac{1}{4} y \geq 1 $$

Evaluate the expression. \(\frac{1}{y^{2}}\) when \(y=5\)

Write your answer as a power or as a product of powers. $$ \left(-2 m^{4} n^{6}\right)^{2} $$
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.