Chapter 1: Q10. (page 12)

Evaluate the expression k⁵ whenk = 6.
k⁵ whenk = 6

Short Answer

Expert verified

The value of $k^{5}$ after evaluating the power is 7776when 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 exponent of 27 and evaluate

Example: Find the base and the exponent of $3^{4}$ and evaluate the value.

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

a = 3 and x = 4

Base = 3 and power = 4

Evaluate: $3^{4} = 3 \cdot 3 \cdot 3 \cdot 3 = 81$

Step 3:

Evaluate the expression $k^{5}$ when $k = 6$ .

According to the exponent rule:

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

a = k and x = 5

In repeated multiplication: $k^{5} = k \cdot k \cdot k \cdot k \cdot k$

When k = 6: $k^{5} = k \cdot k \cdot k \cdot k \cdot k = 6 \cdot 6 \cdot 6 \cdot 6 \cdot 6 = 7776$

The value of $k^{5}$ after evaluating the power is 7776

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 k⁵ whenk = 6.
k⁵ whenk = 6

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and exponent of 27 and evaluate

Step 3:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression k5 whenk = 6.k5 whenk = 6

Short Answer

Step by step solution

– Explanation of the exponent formula

Find the base and exponent of 27 and evaluate

Step 3:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate the expression k⁵ whenk = 6.
k⁵ whenk = 6