Chapter 1: Q28. (page 13)

Evaluate each expression.
$\frac{8 + 3^{3}}{12 - 7}$

Short Answer

Expert verified

The value of the expression $\frac{8 + 3^{3}}{12 - 7}$ is 7.

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 power in the numerator.

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

$\frac{8 + 3^{3}}{12 - 7} = \frac{8 + 27}{12 - 7}$

Step 3. Apply subtraction and addition operations.

Subtract 7 from 12 in the denominator and add 8 and 27 in the numerator simultaneously.

$\begin{array}{l} \frac{8 + 3^{3}}{12 - 7} = \frac{8 + 27}{12 - 7} \\ = \frac{35}{5} \\ = 7 \end{array}$

Therefore, the expression is equal to 7.

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Evaluate each expression.
$\frac{8 + 3^{3}}{12 - 7}$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the power in the numerator.

Step 3. Apply subtraction and addition operations.

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Evaluate each expression.8+3312−7

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the power in the numerator.

Step 3. Apply subtraction and addition operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Evaluate each expression.
$\frac{8 + 3^{3}}{12 - 7}$