Chapter 1: Q9. (page 12)

Evaluate each expression.
$\frac{{(4 \cdot 3)}^{2}}{9 + 3}$

Short Answer

Expert verified

The value of the expression $\frac{{(4 \cdot 3)}^{2}}{9 + 3}$ is 12.

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 in the numerator.

$\frac{{(4 \cdot 3)}^{2}}{9 + 3} = \frac{{(12)}^{2}}{9 + 3}$

Step 3. Evaluate the power

As per the order of operations, evaluate the power in the numerator.

$\frac{{(4 \cdot 3)}^{2}}{9 + 3} = \frac{144}{9 + 3}$

Step 4. Apply addition operation.

Add 9 and 3 in the denominator and simplify the expression.

$\begin{array}{l} \frac{{(4 \cdot 3)}^{2}}{9 + 3} = \frac{144}{12} \\ = 12 \end{array}$

Therefore, the expression is equal to 12.

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Evaluate each expression.
$\frac{{(4 \cdot 3)}^{2}}{9 + 3}$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Evaluate the power

Step 4. Apply addition operation.

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Evaluate each expression.4⋅329+3

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Evaluate the power

Step 4. Apply addition operation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Geometry

Applied Mathematics

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate each expression.
$\frac{{(4 \cdot 3)}^{2}}{9 + 3}$