Chapter 1: Q8. (page 12)

Evaluate the expression k³ when k=6.
k³ when k=6

Short Answer

Expert verified

The value of $k^{3}$ after evaluating the power is 216 when k = 6

Step by step solution

– Explanation of the exponent formula

$a^{x} \to$ a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsa^xthis means that a has been used as a factor x times

Find the base and power of 27 and evaluate

Example: Find the base and the power of 2⁷ and evaluate the value.

Rule: $a^{x} \to$ a is called base and x is power.

a = 2 and x = 7

Base = 2 and power = 7

Evaluate: $2^{7} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 128$

Evaluate the expression k3 when k = 6

Evaluate the expression $k^{3}$ when $k = 6$ .

According to the exponent rule:

$a^{x} \to$ a is called base and x is power.

a = k and x = 3

In repeated multiplication: $k^{3} = k \cdot k \cdot k$

When k = 6: $k^{3} = k \cdot k \cdot k = 6 \cdot 6 \cdot 6 = 216$

The value of $k^{3}$ after evaluating the power is 216

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Evaluate the expression k³ when k=6.
k³ when k=6

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and power of 27 and evaluate

Evaluate the expression k3 when k = 6

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Geometry

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression k3 when k=6.k3 when k=6

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and power of 27 and evaluate

Evaluate the expression k3 when k = 6

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Statistics

Geometry

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression k³ when k=6.
k³ when k=6