/*! 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 49 Find the value of each expressio... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 49

Find the value of each expression. $$ 5\left[3+4\left(2^{2}\right)\right] $$

Short Answer

Expert verified
95

Step by step solution

01

Evaluate the exponent

First, solve the exponent inside the parentheses. Calculate \(2^{2} = 4\)
02

Multiply inside the parentheses

Next, multiply the result from Step 1 by 4 as indicated: \(4 \times 4 = 16\)
03

Add the numbers inside the brackets

Add 3 to the result of Step 2: \(3 + 16 = 19\)
04

Multiply by the number outside the brackets

Finally, multiply the result from Step 3 by 5: \(5 \times 19 = 95\)

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.

Exponentiation
Exponentiation is a mathematical operation involving two numbers: a base number and an exponent. The exponent tells you how many times to multiply the base by itself. In our example, we have\(2^{2}\).

This means multiplying 2 by itself: \(2 \times 2 = 4\).

If you see an exponent of 2, this is often called 'squared.' Similarly, an exponent of 3 is 'cubed.' Understanding exponentiation is crucial, as it often appears in various mathematical problems.
Multiplication
Multiplication is one of the basic arithmetic operations. It involves combining equal groups. In our exercise, we encounter multiplication twice.

First, inside the parentheses: \(4 \times 4\). This is the result of multiplying 4 by the result of the exponentiation, which was 4. So, \(4 \times 4 = 16\).

Second, outside the brackets: \(5 \times 19\). After solving the inside of the brackets, we multiply the result by 5: \(5 \times 19 = 95\). Multiplication is straightforward but always must be done after any operations inside parentheses or brackets.
Addition
Addition is another fundamental arithmetic operation. In our problem, addition comes into play after multiplication inside the parentheses.

We add the result of the multiplication (16) to 3: \(3 + 16\). Adding these gives us 19.

Addition often follows multiplication in multi-step mathematical problems. It's essential to perform the additions and multiplications in the correct order to get the right result, as demonstrated in the step-by-step 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

Solve each problem. The lowest temperature ever recorded in Tennessee was \(-32^{\circ} \mathrm{F}\). The highest temperature ever recorded there was \(145^{\circ} \mathrm{F}\) more than the lowest. What was this highest temperature?

Find each difference. $$ -6-(-2) $$

Perform each indicated operation. $$ |-4-2|-|-8-1| $$

Find each difference. $$ 5.7-(-11.6) $$

Find each difference. $$ 2-(3-5) $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Logic and Functions

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.