Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
100%
![**Solve the following:**
\[
\frac{[3 \times 2^5 - 13 \times (-2)] + 2^3}{(-2^2 + 3^2) - 3}
\]
**Explanation:**
This mathematical expression involves evaluating a complex fraction. The numerator features a combination of arithmetic operations including multiplication, addition, and subtraction with exponents applied to the base numbers. The denominator includes a combination of squaring negative and positive integers and arithmetic operations to adjust the result.
1. **Numerator:**
- \(3 \times 2^5\): Multiply 3 by 2 raised to the power of 5.
- \(-13 \times (-2)\): Multiply -13 by -2.
- Add the result of \(2^3\), which is 2 raised to the power of 3.
2. **Denominator:**
- Evaluate \(-2^2\): Square -2.
- Evaluate \(3^2\): Square 3.
- Add and subtract as indicated: \((-2^2 + 3^2) - 3\).
The solution requires careful application of the order of operations, also known as PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58531ebd-4d7b-4587-924e-328516ceeabd%2Fa83d47dd-6d62-4f88-bbff-dbbf979e3117%2Fjapclvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve the following:**
\[
\frac{[3 \times 2^5 - 13 \times (-2)] + 2^3}{(-2^2 + 3^2) - 3}
\]
**Explanation:**
This mathematical expression involves evaluating a complex fraction. The numerator features a combination of arithmetic operations including multiplication, addition, and subtraction with exponents applied to the base numbers. The denominator includes a combination of squaring negative and positive integers and arithmetic operations to adjust the result.
1. **Numerator:**
- \(3 \times 2^5\): Multiply 3 by 2 raised to the power of 5.
- \(-13 \times (-2)\): Multiply -13 by -2.
- Add the result of \(2^3\), which is 2 raised to the power of 3.
2. **Denominator:**
- Evaluate \(-2^2\): Square -2.
- Evaluate \(3^2\): Square 3.
- Add and subtract as indicated: \((-2^2 + 3^2) - 3\).
The solution requires careful application of the order of operations, also known as PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction).
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education