Chapter 1: Q29. (page 13)

Evaluate each expression.
$\frac{(1 + 6) 9}{5^{2} - 4}$

Short Answer

Expert verified

The value of the expression $\frac{(1 + 6) 9}{5^{2} - 4}$ is 3.

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 bracket.

As per the order of operations, first, evaluate the expression inside the bracket in the numerator.

$\frac{(1 + 6) 9}{5^{2} - 4} = \frac{7 \cdot 9}{5^{2} - 4}$

Step 3. Evaluate the power.

As per the order of operations, first, evaluate the power in the denominator.

$\frac{(1 + 6) 9}{5^{2} - 4} = \frac{7 \cdot 9}{25 - 4}$

Step 4. Apply multiplication and subtraction operations.

First, multiply 7 by 9 in numerator followed by subtraction of 4 from 25 in the denominator and simplify.

$\begin{array}{l} \frac{(1 + 6) 9}{5^{2} - 4} = \frac{7 \cdot 9}{25 - 4} \\ = \frac{63}{25 - 4} \\ = \frac{63}{21} \\ = 3 \end{array}$

Therefore, the expression is equal to 3.

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Evaluate each expression.
$\frac{(1 + 6) 9}{5^{2} - 4}$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the bracket.

Step 3. Evaluate the power.

Step 4. Apply multiplication and subtraction operations.

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Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the bracket.

Step 3. Evaluate the power.

Step 4. Apply multiplication and subtraction operations.

One App. One Place for Learning.

Most popular questions from this chapter

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Logic and Functions

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Evaluate each expression.
$\frac{(1 + 6) 9}{5^{2} - 4}$