Chapter 1: Q10. (page 30)

Evaluate the following expression:
$\frac{40 - 2^{3}}{4 + 3 {(2)}^{2}}$

Short Answer

Expert verified

The algebraic expression is: $\frac{40 - 2^{3}}{4 + 3 {(2)}^{3}} = \frac{32}{28}$ .

Step by step solution

Step 1. Given information.

The expression is:

$\frac{40 - 2^{3}}{4 + 3 {(2)}^{3}}$

Step 2. Write the concept.

Use the formula such that, $a^{3} = a \times a \times a$ .

The BODMAS rule is according to the following order to solve the expression:

$Brackets \to Division \to Multiplication \to Addition \to Subtraction$

Step 3. Solve the expression.

The expression $\frac{40 - 2^{3}}{4 + 3 {(2)}^{3}}$ can be solved as in below.

$\frac{40 - 2^{3}}{4 + 3 {(2)}^{3}} = \frac{40 - 2 \times 2 \times 2}{4 + 3 (2 \times 2 \times 2)} = \frac{40 - 8}{4 + 3 (8)} = \frac{32}{4 + 24} = \frac{32}{28}$

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Evaluate the following expression:
$\frac{40 - 2^{3}}{4 + 3 {(2)}^{2}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the expression.

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Evaluate the following expression:40−234+322

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the concept.

Step 3. Solve the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Evaluate the following expression:
$\frac{40 - 2^{3}}{4 + 3 {(2)}^{2}}$