Chapter 1: Q. 389 (page 90)

In the following exercises, simplify each expression.
$7 + 3 [6 - 4 (5 - 4)] - 3^{2}$

Short Answer

Expert verified

The simplified value of the given expression is $4 .$

Step by step solution

Step 1. Given information

The given expression is $7 + 3 [6 - 4 (5 - 4)] - 3^{2}$

Step 2. Concept used

The order of operations is based on the PEMDAS rule.

Parenthesis
exponent
Multiplication
Divison
Addition
Subtraction

Step 3. Simplify

$7 + 3 [6 - 4 (5 - 4)] - 3^{2} = 7 + 3 [6 - 4 (1)] - 3^{2} Simplifyparenthesis = 7 + 3 [6 - 4] - 3^{2} multiplication = 7 + 3 [2] - 3^{2} subtraction = 7 + 3 [2] - 9 exponent = 7 + 6 - 9 multiplication = 13 - 9 addition = 4 subtraction$

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In the following exercises, simplify each expression.
$7 + 3 [6 - 4 (5 - 4)] - 3^{2}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept used

Step 3. Simplify

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In the following exercises, simplify each expression.
$7 + 3 [6 - 4 (5 - 4)] - 3^{2}$