Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q2.

Expert-verified

Algebra 2

Found in: Page 18

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Find the value of each expression.
$- 4 + 5 (7 - 2^{3})$

Expression $- 4 + 5 (7 - 2^{3})$ results into $- 9$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
Evaluate the exponents.
Perform Multiplication and division from left to right.
Perform addition and subtraction from left to right.

Step 2 - Simplify expression inside grouping symbol

To evaluate the value of the given expression, first expand the exponent then simplify the expression inside the parenthesis as shown below

$\begin{matrix} - 4 + 5 (7 - 2^{3}) = - 4 + 5 (7 - 8) \\ = - 4 + 5 (- 1) \\ = - 4 - 5 \end{matrix}$

Step 3 - Subtract 5 from -4

Now, to simplify further subtract the numbers from left to right to get,

$- 4 - 5 = - 9$

Most popular questions for Math Textbooks

Find the value of each expression

6. $14 \cdot 2 - 5$

Name the sets of numbers to which each number belongs.

$\frac{3 π}{2}$

Evaluate each expression

63. $- \sqrt{4}$

Evaluate each expression

$\sqrt{169}$

Find the value of each expression

$[38 - (8 - 3)] \div 3$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free