Chapter 1: Q16. (page 15)

Evaluate the expression $14^{3}$ .

Short Answer

Expert verified

The value of the expression $14^{3}$ is 2744.

Step by step solution

Step 1. Apply the formula for breaking integral powers.

For any real number ‘a’ with the integer power ‘n’ of the form $a^{n}$ can be expressed as:

$a^{n} = a \times a \times a \times .................. n times.$

Step 2. Example of breaking integral powers.

The expression $3^{4}$ can be written as $3^{4} = 3 \times 3 \times 3 \times 3 (4times)$ which is 81.

Step 3. Calculation using the property.

Applying the formulae,

$14^{3} = 14 \times 14 \times 14$

The expression is now multiplied. Thus,

$14 \times 14 \times 14 = 2744$

$∴ 14^{3} = 2744$

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Evaluate the expression $14^{3}$ .

Short Answer

Step by step solution

Step 1. Apply the formula for breaking integral powers.

Step 2. Example of breaking integral powers.

Step 3. Calculation using the property.

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Evaluate the expression 143.

Short Answer

Step by step solution

Step 1. Apply the formula for breaking integral powers.

Step 2. Example of breaking integral powers.

Step 3. Calculation using the property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

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Study anywhere. Anytime. Across all devices.

Evaluate the expression $14^{3}$ .