Chapter 1: Q27. (page 13)

Evaluate each expression.
$[(6^{3} - 9) \div 23] 4$

Short Answer

Expert verified

The value of the expression $[(6^{3} - 9) \div 23] 4$ is 36.

Step by step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

Evaluate the expressions inside the bracket
Evaluate the powers
Multiply and/or divide
Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate the expression inside the bracket.

In order to evaluate the expression inside the bracket, first, evaluate the innermost expression $(6^{3} - 9)$ .

$\begin{array}{l} [(6^{3} - 9) \div 23] 4 = [(216 - 9) \div 23] 4 \\ = [(207) \div 23] 4 \\ = [9] 4 \\ = 9 \cdot 4 \end{array}$

Step 3. Multiply 9 by 4.

As per the order of operations, now apply the multiplication operation.

$\begin{array}{l} [(6^{3} - 9) \div 23] 4 = 9 \cdot 4 \\ = 36 \end{array}$

Therefore, the expression is equal to 36.

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Evaluate each expression.
$[(6^{3} - 9) \div 23] 4$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Multiply 9 by 4.

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Evaluate each expression.63−9÷234

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Multiply 9 by 4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Probability and Statistics

Geometry

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Evaluate each expression.
$[(6^{3} - 9) \div 23] 4$