Q43. Evaluate the expression 3鈭�422+... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q43. (page 13)

Evaluate the expression ${(3 鈭� 4^{2})}^{2} + 8$ .

Short Answer

Expert verified

The value of the expression of ${(3 鈭� 4^{2})}^{2} + 8$ is 177.

Step by step solution

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression $2 + [10 鈭� {(3 + 1)}^{2}] 鈭� 10$ can be written as

$\begin{array}{l} 2 + [10 鈭� {(3 + 1)}^{2}] 鈭� 10 = 2 + [10 鈭� 4^{2}] 鈭� 10 \\ 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� = 2 + [10 鈭� 16] 鈭� 10 \\ 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� = 2 鈭� 6 鈭� 10 \\ 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� = 2 鈭� 16 \\ 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� = 鈭� 14 \end{array}$

Step 3. Description of step.

The given expression is ${(3 鈭� 4^{2})}^{2} + 8$

First, solving the addition and power inside the bracket

$\begin{array}{l} {(3 鈭� 4 脳 4)}^{2} + 8 \\ {(3 鈭� 16)}^{2} + 8 \\ {(鈭� 13)}^{2} + 8 \\ Solvingthepower \\ (鈭� 13) 脳 (鈭� 13) + 8 \\ 169 + 8 \\ 177 \end{array}$

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!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Evaluate the expression ${(3 鈭� 4^{2})}^{2} + 8$ .

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Pure Maths

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

Evaluate the expression 3鈭�422+8.

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Pure Maths

Statistics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate the expression ${(3 鈭� 4^{2})}^{2} + 8$ .